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Finding the Third Proportional to 252,407,348 and 387,728,591

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Solution

The third proportional to 252,407,348 and 387,728,591 is: 595,598,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,348 : 387,728,591 = 387,728,591 : x
  2. Step 2: Convert to fraction form
    252,407,348/387,728,591 = 387,728,591/x
  3. Step 3: Cross multiply
    252,407,348x = 387,728,591 × 387,728,591
  4. Step 4: Simplify right side
    252,407,348x = 150,333,460,278,845,280
  5. Step 5: Solve for x
    x = 150,333,460,278,845,280/252,407,348
  6. Step 6: Final answer
    x = 595,598,588.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.