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Finding the Third Proportional to 565.10 and 759.38

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Solution

The third proportional to 565.10 and 759.38 is: 1,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.10 : 759.38 = 759.38 : x
  2. Step 2: Convert to fraction form
    565.10/759.38 = 759.38/x
  3. Step 3: Cross multiply
    565.10x = 759.38 × 759.38
  4. Step 4: Simplify right side
    565.10x = 576,650.39
  5. Step 5: Solve for x
    x = 576,650.39/565.10
  6. Step 6: Final answer
    x = 1,020.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.