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Finding the Third Proportional to 224,749 and 487,001

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Solution

The third proportional to 224,749 and 487,001 is: 1,055,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,749 : 487,001 = 487,001 : x
  2. Step 2: Convert to fraction form
    224,749/487,001 = 487,001/x
  3. Step 3: Cross multiply
    224,749x = 487,001 × 487,001
  4. Step 4: Simplify right side
    224,749x = 237,169,974,001
  5. Step 5: Solve for x
    x = 237,169,974,001/224,749
  6. Step 6: Final answer
    x = 1,055,265.98

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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.