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Finding the Third Proportional to 568.38 and 869.13

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Solution

The third proportional to 568.38 and 869.13 is: 1,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.38 : 869.13 = 869.13 : x
  2. Step 2: Convert to fraction form
    568.38/869.13 = 869.13/x
  3. Step 3: Cross multiply
    568.38x = 869.13 × 869.13
  4. Step 4: Simplify right side
    568.38x = 755,378.27
  5. Step 5: Solve for x
    x = 755,378.27/568.38
  6. Step 6: Final answer
    x = 1,329.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.