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Finding the Third Proportional to 817.38 and 1,250.59

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Solution

The third proportional to 817.38 and 1,250.59 is: 1,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.38 : 1,250.59 = 1,250.59 : x
  2. Step 2: Convert to fraction form
    817.38/1,250.59 = 1,250.59/x
  3. Step 3: Cross multiply
    817.38x = 1,250.59 × 1,250.59
  4. Step 4: Simplify right side
    817.38x = 1,563,984.73
  5. Step 5: Solve for x
    x = 1,563,984.73/817.38
  6. Step 6: Final answer
    x = 1,913.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.