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Finding the Third Proportional to 494,118 and 722,331

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Solution

The third proportional to 494,118 and 722,331 is: 1,055,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,118 : 722,331 = 722,331 : x
  2. Step 2: Convert to fraction form
    494,118/722,331 = 722,331/x
  3. Step 3: Cross multiply
    494,118x = 722,331 × 722,331
  4. Step 4: Simplify right side
    494,118x = 521,762,073,561
  5. Step 5: Solve for x
    x = 521,762,073,561/494,118
  6. Step 6: Final answer
    x = 1,055,946.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.