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Finding the Third Proportional to 450,027,496 and 676,239,448

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Solution

The third proportional to 450,027,496 and 676,239,448 is: 1,016,159,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,027,496 : 676,239,448 = 676,239,448 : x
  2. Step 2: Convert to fraction form
    450,027,496/676,239,448 = 676,239,448/x
  3. Step 3: Cross multiply
    450,027,496x = 676,239,448 × 676,239,448
  4. Step 4: Simplify right side
    450,027,496x = 457,299,791,031,344,704
  5. Step 5: Solve for x
    x = 457,299,791,031,344,704/450,027,496
  6. Step 6: Final answer
    x = 1,016,159,668.23

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Why These Related Problems?

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