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Finding the Third Proportional to 392,768 and 600,566

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Solution

The third proportional to 392,768 and 600,566 is: 918,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,768 : 600,566 = 600,566 : x
  2. Step 2: Convert to fraction form
    392,768/600,566 = 600,566/x
  3. Step 3: Cross multiply
    392,768x = 600,566 × 600,566
  4. Step 4: Simplify right side
    392,768x = 360,679,520,356
  5. Step 5: Solve for x
    x = 360,679,520,356/392,768
  6. Step 6: Final answer
    x = 918,301.70

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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.