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Finding the Third Proportional to 225,531 and 487,350

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Solution

The third proportional to 225,531 and 487,350 is: 1,053,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,531 : 487,350 = 487,350 : x
  2. Step 2: Convert to fraction form
    225,531/487,350 = 487,350/x
  3. Step 3: Cross multiply
    225,531x = 487,350 × 487,350
  4. Step 4: Simplify right side
    225,531x = 237,510,022,500
  5. Step 5: Solve for x
    x = 237,510,022,500/225,531
  6. Step 6: Final answer
    x = 1,053,114.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.