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Finding the Third Proportional to 500.75 and 758.50

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Solution

The third proportional to 500.75 and 758.50 is: 1,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.75 : 758.50 = 758.50 : x
  2. Step 2: Convert to fraction form
    500.75/758.50 = 758.50/x
  3. Step 3: Cross multiply
    500.75x = 758.50 × 758.50
  4. Step 4: Simplify right side
    500.75x = 575,322.25
  5. Step 5: Solve for x
    x = 575,322.25/500.75
  6. Step 6: Final answer
    x = 1,148.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.