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Finding the Third Proportional to 389,048,352.75 and 601,752,196.13

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Solution

The third proportional to 389,048,352.75 and 601,752,196.13 is: 930,747,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,048,352.75 : 601,752,196.13 = 601,752,196.13 : x
  2. Step 2: Convert to fraction form
    389,048,352.75/601,752,196.13 = 601,752,196.13/x
  3. Step 3: Cross multiply
    389,048,352.75x = 601,752,196.13 × 601,752,196.13
  4. Step 4: Simplify right side
    389,048,352.75x = 362,105,705,541,260,480
  5. Step 5: Solve for x
    x = 362,105,705,541,260,480/389,048,352.75
  6. Step 6: Final answer
    x = 930,747,304.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.