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Finding the Third Proportional to 398,736 and 592,344

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Solution

The third proportional to 398,736 and 592,344 is: 879,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,736 : 592,344 = 592,344 : x
  2. Step 2: Convert to fraction form
    398,736/592,344 = 592,344/x
  3. Step 3: Cross multiply
    398,736x = 592,344 × 592,344
  4. Step 4: Simplify right side
    398,736x = 350,871,414,336
  5. Step 5: Solve for x
    x = 350,871,414,336/398,736
  6. Step 6: Final answer
    x = 879,959.21

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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.