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Finding the Third Proportional to 288,448,344 and 587,090,631

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Solution

The third proportional to 288,448,344 and 587,090,631 is: 1,194,929,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,448,344 : 587,090,631 = 587,090,631 : x
  2. Step 2: Convert to fraction form
    288,448,344/587,090,631 = 587,090,631/x
  3. Step 3: Cross multiply
    288,448,344x = 587,090,631 × 587,090,631
  4. Step 4: Simplify right side
    288,448,344x = 344,675,409,007,978,176
  5. Step 5: Solve for x
    x = 344,675,409,007,978,176/288,448,344
  6. Step 6: Final answer
    x = 1,194,929,408.25

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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.