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Finding the Third Proportional to 546,785.44 and 820,170.56

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Solution

The third proportional to 546,785.44 and 820,170.56 is: 1,230,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,785.44 : 820,170.56 = 820,170.56 : x
  2. Step 2: Convert to fraction form
    546,785.44/820,170.56 = 820,170.56/x
  3. Step 3: Cross multiply
    546,785.44x = 820,170.56 × 820,170.56
  4. Step 4: Simplify right side
    546,785.44x = 672,679,751,591.57
  5. Step 5: Solve for x
    x = 672,679,751,591.57/546,785.44
  6. Step 6: Final answer
    x = 1,230,244.45

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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.