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Finding the Third Proportional to 548,224.88 and 822,337.31

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Solution

The third proportional to 548,224.88 and 822,337.31 is: 1,233,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,224.88 : 822,337.31 = 822,337.31 : x
  2. Step 2: Convert to fraction form
    548,224.88/822,337.31 = 822,337.31/x
  3. Step 3: Cross multiply
    548,224.88x = 822,337.31 × 822,337.31
  4. Step 4: Simplify right side
    548,224.88x = 676,238,655,529.72
  5. Step 5: Solve for x
    x = 676,238,655,529.72/548,224.88
  6. Step 6: Final answer
    x = 1,233,505.97

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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.