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Finding the Third Proportional to 291,438,416 and 631,304,462

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Solution

The third proportional to 291,438,416 and 631,304,462 is: 1,367,511,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,438,416 : 631,304,462 = 631,304,462 : x
  2. Step 2: Convert to fraction form
    291,438,416/631,304,462 = 631,304,462/x
  3. Step 3: Cross multiply
    291,438,416x = 631,304,462 × 631,304,462
  4. Step 4: Simplify right side
    291,438,416x = 398,545,323,741,109,440
  5. Step 5: Solve for x
    x = 398,545,323,741,109,440/291,438,416
  6. Step 6: Final answer
    x = 1,367,511,288.36

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Why These Related Problems?

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