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Finding the Third Proportional to 548,226 and 822,339

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Solution

The third proportional to 548,226 and 822,339 is: 1,233,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,226 : 822,339 = 822,339 : x
  2. Step 2: Convert to fraction form
    548,226/822,339 = 822,339/x
  3. Step 3: Cross multiply
    548,226x = 822,339 × 822,339
  4. Step 4: Simplify right side
    548,226x = 676,241,430,921
  5. Step 5: Solve for x
    x = 676,241,430,921/548,226
  6. Step 6: Final answer
    x = 1,233,508.50

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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.