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Finding the Third Proportional to 701.53 and 917.44

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Solution

The third proportional to 701.53 and 917.44 is: 1,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.53 : 917.44 = 917.44 : x
  2. Step 2: Convert to fraction form
    701.53/917.44 = 917.44/x
  3. Step 3: Cross multiply
    701.53x = 917.44 × 917.44
  4. Step 4: Simplify right side
    701.53x = 841,691.57
  5. Step 5: Solve for x
    x = 841,691.57/701.53
  6. Step 6: Final answer
    x = 1,199.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.