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Finding the Third Proportional to 565.26 and 851.45

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Solution

The third proportional to 565.26 and 851.45 is: 1,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 851.45 = 851.45 : x
  2. Step 2: Convert to fraction form
    565.26/851.45 = 851.45/x
  3. Step 3: Cross multiply
    565.26x = 851.45 × 851.45
  4. Step 4: Simplify right side
    565.26x = 724,965.77
  5. Step 5: Solve for x
    x = 724,965.77/565.26
  6. Step 6: Final answer
    x = 1,282.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.