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Finding the Third Proportional to 578.75 and 686.75

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Solution

The third proportional to 578.75 and 686.75 is: 814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 686.75 = 686.75 : x
  2. Step 2: Convert to fraction form
    578.75/686.75 = 686.75/x
  3. Step 3: Cross multiply
    578.75x = 686.75 × 686.75
  4. Step 4: Simplify right side
    578.75x = 471,625.56
  5. Step 5: Solve for x
    x = 471,625.56/578.75
  6. Step 6: Final answer
    x = 814.90

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.