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Finding the Third Proportional to 548,262 and 822,394

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Solution

The third proportional to 548,262 and 822,394 is: 1,233,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,262 : 822,394 = 822,394 : x
  2. Step 2: Convert to fraction form
    548,262/822,394 = 822,394/x
  3. Step 3: Cross multiply
    548,262x = 822,394 × 822,394
  4. Step 4: Simplify right side
    548,262x = 676,331,891,236
  5. Step 5: Solve for x
    x = 676,331,891,236/548,262
  6. Step 6: Final answer
    x = 1,233,592.50

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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.