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Finding the Third Proportional to 508.78 and 1,044.14

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Solution

The third proportional to 508.78 and 1,044.14 is: 2,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 1,044.14 = 1,044.14 : x
  2. Step 2: Convert to fraction form
    508.78/1,044.14 = 1,044.14/x
  3. Step 3: Cross multiply
    508.78x = 1,044.14 × 1,044.14
  4. Step 4: Simplify right side
    508.78x = 1,090,229.64
  5. Step 5: Solve for x
    x = 1,090,229.64/508.78
  6. Step 6: Final answer
    x = 2,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.