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Finding the Third Proportional to 291,438,420 and 631,304,470

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Solution

The third proportional to 291,438,420 and 631,304,470 is: 1,367,511,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,438,420 : 631,304,470 = 631,304,470 : x
  2. Step 2: Convert to fraction form
    291,438,420/631,304,470 = 631,304,470/x
  3. Step 3: Cross multiply
    291,438,420x = 631,304,470 × 631,304,470
  4. Step 4: Simplify right side
    291,438,420x = 398,545,333,841,980,928
  5. Step 5: Solve for x
    x = 398,545,333,841,980,928/291,438,420
  6. Step 6: Final answer
    x = 1,367,511,304.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.