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Finding the Third Proportional to 392,738 and 600,530

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Solution

The third proportional to 392,738 and 600,530 is: 918,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,738 : 600,530 = 600,530 : x
  2. Step 2: Convert to fraction form
    392,738/600,530 = 600,530/x
  3. Step 3: Cross multiply
    392,738x = 600,530 × 600,530
  4. Step 4: Simplify right side
    392,738x = 360,636,280,900
  5. Step 5: Solve for x
    x = 360,636,280,900/392,738
  6. Step 6: Final answer
    x = 918,261.74

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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.