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Finding the Third Proportional to 508.78 and 1,282.92

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Solution

The third proportional to 508.78 and 1,282.92 is: 3,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 1,282.92 = 1,282.92 : x
  2. Step 2: Convert to fraction form
    508.78/1,282.92 = 1,282.92/x
  3. Step 3: Cross multiply
    508.78x = 1,282.92 × 1,282.92
  4. Step 4: Simplify right side
    508.78x = 1,645,888.54
  5. Step 5: Solve for x
    x = 1,645,888.54/508.78
  6. Step 6: Final answer
    x = 3,234.96

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.