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Finding the Third Proportional to 392,924 and 600,663

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Solution

The third proportional to 392,924 and 600,663 is: 918,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,924 : 600,663 = 600,663 : x
  2. Step 2: Convert to fraction form
    392,924/600,663 = 600,663/x
  3. Step 3: Cross multiply
    392,924x = 600,663 × 600,663
  4. Step 4: Simplify right side
    392,924x = 360,796,039,569
  5. Step 5: Solve for x
    x = 360,796,039,569/392,924
  6. Step 6: Final answer
    x = 918,233.65

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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.