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Finding the Third Proportional to 567.53 and 867.81

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Solution

The third proportional to 567.53 and 867.81 is: 1,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.53 : 867.81 = 867.81 : x
  2. Step 2: Convert to fraction form
    567.53/867.81 = 867.81/x
  3. Step 3: Cross multiply
    567.53x = 867.81 × 867.81
  4. Step 4: Simplify right side
    567.53x = 753,098.54
  5. Step 5: Solve for x
    x = 753,098.54/567.53
  6. Step 6: Final answer
    x = 1,326.97

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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.