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Finding the Third Proportional to 500.75 and 545.75

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Solution

The third proportional to 500.75 and 545.75 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.75 : 545.75 = 545.75 : x
  2. Step 2: Convert to fraction form
    500.75/545.75 = 545.75/x
  3. Step 3: Cross multiply
    500.75x = 545.75 × 545.75
  4. Step 4: Simplify right side
    500.75x = 297,843.06
  5. Step 5: Solve for x
    x = 297,843.06/500.75
  6. Step 6: Final answer
    x = 594.79

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.