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Finding the Third Proportional to 601.31 and 1,034.16

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Solution

The third proportional to 601.31 and 1,034.16 is: 1,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.31 : 1,034.16 = 1,034.16 : x
  2. Step 2: Convert to fraction form
    601.31/1,034.16 = 1,034.16/x
  3. Step 3: Cross multiply
    601.31x = 1,034.16 × 1,034.16
  4. Step 4: Simplify right side
    601.31x = 1,069,479.15
  5. Step 5: Solve for x
    x = 1,069,479.15/601.31
  6. Step 6: Final answer
    x = 1,778.57

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.