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Finding the Third Proportional to 817.88 and 1,234.13

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Solution

The third proportional to 817.88 and 1,234.13 is: 1,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.88 : 1,234.13 = 1,234.13 : x
  2. Step 2: Convert to fraction form
    817.88/1,234.13 = 1,234.13/x
  3. Step 3: Cross multiply
    817.88x = 1,234.13 × 1,234.13
  4. Step 4: Simplify right side
    817.88x = 1,523,064.52
  5. Step 5: Solve for x
    x = 1,523,064.52/817.88
  6. Step 6: Final answer
    x = 1,862.22

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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.