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Finding the Third Proportional to 548,247 and 822,372

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Solution

The third proportional to 548,247 and 822,372 is: 1,233,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,247 : 822,372 = 822,372 : x
  2. Step 2: Convert to fraction form
    548,247/822,372 = 822,372/x
  3. Step 3: Cross multiply
    548,247x = 822,372 × 822,372
  4. Step 4: Simplify right side
    548,247x = 676,295,706,384
  5. Step 5: Solve for x
    x = 676,295,706,384/548,247
  6. Step 6: Final answer
    x = 1,233,560.25

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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.