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Finding the Third Proportional to 260,354 and 527,950

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Solution

The third proportional to 260,354 and 527,950 is: 1,070,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,354 : 527,950 = 527,950 : x
  2. Step 2: Convert to fraction form
    260,354/527,950 = 527,950/x
  3. Step 3: Cross multiply
    260,354x = 527,950 × 527,950
  4. Step 4: Simplify right side
    260,354x = 278,731,202,500
  5. Step 5: Solve for x
    x = 278,731,202,500/260,354
  6. Step 6: Final answer
    x = 1,070,585.44

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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.