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Finding the Third Proportional to 494,600 and 746,520

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Solution

The third proportional to 494,600 and 746,520 is: 1,126,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,600 : 746,520 = 746,520 : x
  2. Step 2: Convert to fraction form
    494,600/746,520 = 746,520/x
  3. Step 3: Cross multiply
    494,600x = 746,520 × 746,520
  4. Step 4: Simplify right side
    494,600x = 557,292,110,400
  5. Step 5: Solve for x
    x = 557,292,110,400/494,600
  6. Step 6: Final answer
    x = 1,126,753.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.