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Finding the Third Proportional to 170,626 and 398,743

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Solution

The third proportional to 170,626 and 398,743 is: 931,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,626 : 398,743 = 398,743 : x
  2. Step 2: Convert to fraction form
    170,626/398,743 = 398,743/x
  3. Step 3: Cross multiply
    170,626x = 398,743 × 398,743
  4. Step 4: Simplify right side
    170,626x = 158,995,980,049
  5. Step 5: Solve for x
    x = 158,995,980,049/170,626
  6. Step 6: Final answer
    x = 931,839.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.