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Finding the Third Proportional to 257,523 and 532,866

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Solution

The third proportional to 257,523 and 532,866 is: 1,102,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,523 : 532,866 = 532,866 : x
  2. Step 2: Convert to fraction form
    257,523/532,866 = 532,866/x
  3. Step 3: Cross multiply
    257,523x = 532,866 × 532,866
  4. Step 4: Simplify right side
    257,523x = 283,946,173,956
  5. Step 5: Solve for x
    x = 283,946,173,956/257,523
  6. Step 6: Final answer
    x = 1,102,605.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.