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Finding the Third Proportional to 408,802,202.25 and 613,053,159.75

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Solution

The third proportional to 408,802,202.25 and 613,053,159.75 is: 919,354,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802,202.25 : 613,053,159.75 = 613,053,159.75 : x
  2. Step 2: Convert to fraction form
    408,802,202.25/613,053,159.75 = 613,053,159.75/x
  3. Step 3: Cross multiply
    408,802,202.25x = 613,053,159.75 × 613,053,159.75
  4. Step 4: Simplify right side
    408,802,202.25x = 375,834,176,679,459,008
  5. Step 5: Solve for x
    x = 375,834,176,679,459,008/408,802,202.25
  6. Step 6: Final answer
    x = 919,354,579.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.