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Finding the Third Proportional to 392,758 and 600,549

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Solution

The third proportional to 392,758 and 600,549 is: 918,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,758 : 600,549 = 600,549 : x
  2. Step 2: Convert to fraction form
    392,758/600,549 = 600,549/x
  3. Step 3: Cross multiply
    392,758x = 600,549 × 600,549
  4. Step 4: Simplify right side
    392,758x = 360,659,101,401
  5. Step 5: Solve for x
    x = 360,659,101,401/392,758
  6. Step 6: Final answer
    x = 918,273.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.