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Finding the Third Proportional to 601.13 and 874.31

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Solution

The third proportional to 601.13 and 874.31 is: 1,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.13 : 874.31 = 874.31 : x
  2. Step 2: Convert to fraction form
    601.13/874.31 = 874.31/x
  3. Step 3: Cross multiply
    601.13x = 874.31 × 874.31
  4. Step 4: Simplify right side
    601.13x = 764,422.35
  5. Step 5: Solve for x
    x = 764,422.35/601.13
  6. Step 6: Final answer
    x = 1,271.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.