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Finding the Third Proportional to 494,754.75 and 740,836.13

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Solution

The third proportional to 494,754.75 and 740,836.13 is: 1,109,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,754.75 : 740,836.13 = 740,836.13 : x
  2. Step 2: Convert to fraction form
    494,754.75/740,836.13 = 740,836.13/x
  3. Step 3: Cross multiply
    494,754.75x = 740,836.13 × 740,836.13
  4. Step 4: Simplify right side
    494,754.75x = 548,838,164,105.02
  5. Step 5: Solve for x
    x = 548,838,164,105.02/494,754.75
  6. Step 6: Final answer
    x = 1,109,313.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.