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Finding the Third Proportional to 442,024,049.25 and 679,422,636

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Solution

The third proportional to 442,024,049.25 and 679,422,636 is: 1,044,321,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,024,049.25 : 679,422,636 = 679,422,636 : x
  2. Step 2: Convert to fraction form
    442,024,049.25/679,422,636 = 679,422,636/x
  3. Step 3: Cross multiply
    442,024,049.25x = 679,422,636 × 679,422,636
  4. Step 4: Simplify right side
    442,024,049.25x = 461,615,118,309,188,480
  5. Step 5: Solve for x
    x = 461,615,118,309,188,480/442,024,049.25
  6. Step 6: Final answer
    x = 1,044,321,274.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.