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Finding the Third Proportional to 645.75 and 721.50

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Solution

The third proportional to 645.75 and 721.50 is: 806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.75 : 721.50 = 721.50 : x
  2. Step 2: Convert to fraction form
    645.75/721.50 = 721.50/x
  3. Step 3: Cross multiply
    645.75x = 721.50 × 721.50
  4. Step 4: Simplify right side
    645.75x = 520,562.25
  5. Step 5: Solve for x
    x = 520,562.25/645.75
  6. Step 6: Final answer
    x = 806.14

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.