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Finding the Third Proportional to 567.75 and 868.38

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Solution

The third proportional to 567.75 and 868.38 is: 1,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 868.38 = 868.38 : x
  2. Step 2: Convert to fraction form
    567.75/868.38 = 868.38/x
  3. Step 3: Cross multiply
    567.75x = 868.38 × 868.38
  4. Step 4: Simplify right side
    567.75x = 754,075.14
  5. Step 5: Solve for x
    x = 754,075.14/567.75
  6. Step 6: Final answer
    x = 1,328.18

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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.