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Finding the Third Proportional to 182,632 and 398,484

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Solution

The third proportional to 182,632 and 398,484 is: 869,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,632 : 398,484 = 398,484 : x
  2. Step 2: Convert to fraction form
    182,632/398,484 = 398,484/x
  3. Step 3: Cross multiply
    182,632x = 398,484 × 398,484
  4. Step 4: Simplify right side
    182,632x = 158,789,498,256
  5. Step 5: Solve for x
    x = 158,789,498,256/182,632
  6. Step 6: Final answer
    x = 869,450.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.