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Finding the Third Proportional to 398,561 and 592,195

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Solution

The third proportional to 398,561 and 592,195 is: 879,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,561 : 592,195 = 592,195 : x
  2. Step 2: Convert to fraction form
    398,561/592,195 = 592,195/x
  3. Step 3: Cross multiply
    398,561x = 592,195 × 592,195
  4. Step 4: Simplify right side
    398,561x = 350,694,918,025
  5. Step 5: Solve for x
    x = 350,694,918,025/398,561
  6. Step 6: Final answer
    x = 879,902.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.