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Finding the Third Proportional to 251,666 and 532,481

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Solution

The third proportional to 251,666 and 532,481 is: 1,126,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,666 : 532,481 = 532,481 : x
  2. Step 2: Convert to fraction form
    251,666/532,481 = 532,481/x
  3. Step 3: Cross multiply
    251,666x = 532,481 × 532,481
  4. Step 4: Simplify right side
    251,666x = 283,536,015,361
  5. Step 5: Solve for x
    x = 283,536,015,361/251,666
  6. Step 6: Final answer
    x = 1,126,636.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.