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Finding the Third Proportional to 288,448,305.19 and 587,090,551.50

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Solution

The third proportional to 288,448,305.19 and 587,090,551.50 is: 1,194,929,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,448,305.19 : 587,090,551.50 = 587,090,551.50 : x
  2. Step 2: Convert to fraction form
    288,448,305.19/587,090,551.50 = 587,090,551.50/x
  3. Step 3: Cross multiply
    288,448,305.19x = 587,090,551.50 × 587,090,551.50
  4. Step 4: Simplify right side
    288,448,305.19x = 344,675,315,660,574,144
  5. Step 5: Solve for x
    x = 344,675,315,660,574,144/288,448,305.19
  6. Step 6: Final answer
    x = 1,194,929,245.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.