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Finding the Third Proportional to 548,265 and 822,396

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Solution

The third proportional to 548,265 and 822,396 is: 1,233,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,265 : 822,396 = 822,396 : x
  2. Step 2: Convert to fraction form
    548,265/822,396 = 822,396/x
  3. Step 3: Cross multiply
    548,265x = 822,396 × 822,396
  4. Step 4: Simplify right side
    548,265x = 676,335,180,816
  5. Step 5: Solve for x
    x = 676,335,180,816/548,265
  6. Step 6: Final answer
    x = 1,233,591.75

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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.