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Finding the Third Proportional to 242,523 and 532,721

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Solution

The third proportional to 242,523 and 532,721 is: 1,170,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,523 : 532,721 = 532,721 : x
  2. Step 2: Convert to fraction form
    242,523/532,721 = 532,721/x
  3. Step 3: Cross multiply
    242,523x = 532,721 × 532,721
  4. Step 4: Simplify right side
    242,523x = 283,791,663,841
  5. Step 5: Solve for x
    x = 283,791,663,841/242,523
  6. Step 6: Final answer
    x = 1,170,163.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.