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Finding the Third Proportional to 260,353.50 and 527,949

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Solution

The third proportional to 260,353.50 and 527,949 is: 1,070,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,353.50 : 527,949 = 527,949 : x
  2. Step 2: Convert to fraction form
    260,353.50/527,949 = 527,949/x
  3. Step 3: Cross multiply
    260,353.50x = 527,949 × 527,949
  4. Step 4: Simplify right side
    260,353.50x = 278,730,146,601
  5. Step 5: Solve for x
    x = 278,730,146,601/260,353.50
  6. Step 6: Final answer
    x = 1,070,583.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.