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Finding the Third Proportional to 224,513 and 487,780

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Solution

The third proportional to 224,513 and 487,780 is: 1,059,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,513 : 487,780 = 487,780 : x
  2. Step 2: Convert to fraction form
    224,513/487,780 = 487,780/x
  3. Step 3: Cross multiply
    224,513x = 487,780 × 487,780
  4. Step 4: Simplify right side
    224,513x = 237,929,328,400
  5. Step 5: Solve for x
    x = 237,929,328,400/224,513
  6. Step 6: Final answer
    x = 1,059,757.47

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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.