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Finding the Third Proportional to 567.88 and 772.69

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Solution

The third proportional to 567.88 and 772.69 is: 1,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 772.69 = 772.69 : x
  2. Step 2: Convert to fraction form
    567.88/772.69 = 772.69/x
  3. Step 3: Cross multiply
    567.88x = 772.69 × 772.69
  4. Step 4: Simplify right side
    567.88x = 597,045.97
  5. Step 5: Solve for x
    x = 597,045.97/567.88
  6. Step 6: Final answer
    x = 1,051.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.