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Finding the Third Proportional to 394,403,408 and 615,481,557

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Solution

The third proportional to 394,403,408 and 615,481,557 is: 960,482,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403,408 : 615,481,557 = 615,481,557 : x
  2. Step 2: Convert to fraction form
    394,403,408/615,481,557 = 615,481,557/x
  3. Step 3: Cross multiply
    394,403,408x = 615,481,557 × 615,481,557
  4. Step 4: Simplify right side
    394,403,408x = 378,817,547,007,144,256
  5. Step 5: Solve for x
    x = 378,817,547,007,144,256/394,403,408
  6. Step 6: Final answer
    x = 960,482,438.34

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.