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Finding the Third Proportional to 507.75 and 762.38

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Solution

The third proportional to 507.75 and 762.38 is: 1,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 762.38 = 762.38 : x
  2. Step 2: Convert to fraction form
    507.75/762.38 = 762.38/x
  3. Step 3: Cross multiply
    507.75x = 762.38 × 762.38
  4. Step 4: Simplify right side
    507.75x = 581,215.64
  5. Step 5: Solve for x
    x = 581,215.64/507.75
  6. Step 6: Final answer
    x = 1,144.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.