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Finding the Third Proportional to 502.37 and 772.78

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Solution

The third proportional to 502.37 and 772.78 is: 1,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.37 : 772.78 = 772.78 : x
  2. Step 2: Convert to fraction form
    502.37/772.78 = 772.78/x
  3. Step 3: Cross multiply
    502.37x = 772.78 × 772.78
  4. Step 4: Simplify right side
    502.37x = 597,193.12
  5. Step 5: Solve for x
    x = 597,193.12/502.37
  6. Step 6: Final answer
    x = 1,188.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.