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Finding the Third Proportional to 406,598,376 and 628,261,902

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Solution

The third proportional to 406,598,376 and 628,261,902 is: 970,768,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,598,376 : 628,261,902 = 628,261,902 : x
  2. Step 2: Convert to fraction form
    406,598,376/628,261,902 = 628,261,902/x
  3. Step 3: Cross multiply
    406,598,376x = 628,261,902 × 628,261,902
  4. Step 4: Simplify right side
    406,598,376x = 394,713,017,504,657,600
  5. Step 5: Solve for x
    x = 394,713,017,504,657,600/406,598,376
  6. Step 6: Final answer
    x = 970,768,799.88

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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.