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Finding the Third Proportional to 565.73 and 859.78

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Solution

The third proportional to 565.73 and 859.78 is: 1,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.73 : 859.78 = 859.78 : x
  2. Step 2: Convert to fraction form
    565.73/859.78 = 859.78/x
  3. Step 3: Cross multiply
    565.73x = 859.78 × 859.78
  4. Step 4: Simplify right side
    565.73x = 739,223.80
  5. Step 5: Solve for x
    x = 739,223.80/565.73
  6. Step 6: Final answer
    x = 1,306.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.