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Finding the Third Proportional to 251,914 and 532,264

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Solution

The third proportional to 251,914 and 532,264 is: 1,124,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,914 : 532,264 = 532,264 : x
  2. Step 2: Convert to fraction form
    251,914/532,264 = 532,264/x
  3. Step 3: Cross multiply
    251,914x = 532,264 × 532,264
  4. Step 4: Simplify right side
    251,914x = 283,304,965,696
  5. Step 5: Solve for x
    x = 283,304,965,696/251,914
  6. Step 6: Final answer
    x = 1,124,609.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.