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Finding the Third Proportional to 251,662 and 532,473

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Solution

The third proportional to 251,662 and 532,473 is: 1,126,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,662 : 532,473 = 532,473 : x
  2. Step 2: Convert to fraction form
    251,662/532,473 = 532,473/x
  3. Step 3: Cross multiply
    251,662x = 532,473 × 532,473
  4. Step 4: Simplify right side
    251,662x = 283,527,495,729
  5. Step 5: Solve for x
    x = 283,527,495,729/251,662
  6. Step 6: Final answer
    x = 1,126,620.21

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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.