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Finding the Third Proportional to 357,565,304 and 546,744,468

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Solution

The third proportional to 357,565,304 and 546,744,468 is: 836,013,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,565,304 : 546,744,468 = 546,744,468 : x
  2. Step 2: Convert to fraction form
    357,565,304/546,744,468 = 546,744,468/x
  3. Step 3: Cross multiply
    357,565,304x = 546,744,468 × 546,744,468
  4. Step 4: Simplify right side
    357,565,304x = 298,929,513,288,603,008
  5. Step 5: Solve for x
    x = 298,929,513,288,603,008/357,565,304
  6. Step 6: Final answer
    x = 836,013,757.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.