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Finding the Third Proportional to 256,339,046 and 397,174,539

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Solution

The third proportional to 256,339,046 and 397,174,539 is: 615,386,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,339,046 : 397,174,539 = 397,174,539 : x
  2. Step 2: Convert to fraction form
    256,339,046/397,174,539 = 397,174,539/x
  3. Step 3: Cross multiply
    256,339,046x = 397,174,539 × 397,174,539
  4. Step 4: Simplify right side
    256,339,046x = 157,747,614,429,862,528
  5. Step 5: Solve for x
    x = 157,747,614,429,862,528/256,339,046
  6. Step 6: Final answer
    x = 615,386,601.81

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