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Finding the Third Proportional to 251,538 and 532,128

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Solution

The third proportional to 251,538 and 532,128 is: 1,125,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,538 : 532,128 = 532,128 : x
  2. Step 2: Convert to fraction form
    251,538/532,128 = 532,128/x
  3. Step 3: Cross multiply
    251,538x = 532,128 × 532,128
  4. Step 4: Simplify right side
    251,538x = 283,160,208,384
  5. Step 5: Solve for x
    x = 283,160,208,384/251,538
  6. Step 6: Final answer
    x = 1,125,715.43

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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.