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Finding the Third Proportional to 507.38 and 763.88

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Solution

The third proportional to 507.38 and 763.88 is: 1,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 763.88 = 763.88 : x
  2. Step 2: Convert to fraction form
    507.38/763.88 = 763.88/x
  3. Step 3: Cross multiply
    507.38x = 763.88 × 763.88
  4. Step 4: Simplify right side
    507.38x = 583,505.02
  5. Step 5: Solve for x
    x = 583,505.02/507.38
  6. Step 6: Final answer
    x = 1,150.05

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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.