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Finding the Third Proportional to 568.63 and 869.38

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Solution

The third proportional to 568.63 and 869.38 is: 1,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.63 : 869.38 = 869.38 : x
  2. Step 2: Convert to fraction form
    568.63/869.38 = 869.38/x
  3. Step 3: Cross multiply
    568.63x = 869.38 × 869.38
  4. Step 4: Simplify right side
    568.63x = 755,812.89
  5. Step 5: Solve for x
    x = 755,812.89/568.63
  6. Step 6: Final answer
    x = 1,329.19

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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.