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Finding the Third Proportional to 565.13 and 883.31

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Solution

The third proportional to 565.13 and 883.31 is: 1,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 883.31 = 883.31 : x
  2. Step 2: Convert to fraction form
    565.13/883.31 = 883.31/x
  3. Step 3: Cross multiply
    565.13x = 883.31 × 883.31
  4. Step 4: Simplify right side
    565.13x = 780,240.97
  5. Step 5: Solve for x
    x = 780,240.97/565.13
  6. Step 6: Final answer
    x = 1,380.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.