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Finding the Third Proportional to 565.17 and 1,242.14

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Solution

The third proportional to 565.17 and 1,242.14 is: 2,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.17 : 1,242.14 = 1,242.14 : x
  2. Step 2: Convert to fraction form
    565.17/1,242.14 = 1,242.14/x
  3. Step 3: Cross multiply
    565.17x = 1,242.14 × 1,242.14
  4. Step 4: Simplify right side
    565.17x = 1,542,913.33
  5. Step 5: Solve for x
    x = 1,542,913.33/565.17
  6. Step 6: Final answer
    x = 2,729.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.