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Finding the Third Proportional to 548,264 and 822,393

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Solution

The third proportional to 548,264 and 822,393 is: 1,233,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,264 : 822,393 = 822,393 : x
  2. Step 2: Convert to fraction form
    548,264/822,393 = 822,393/x
  3. Step 3: Cross multiply
    548,264x = 822,393 × 822,393
  4. Step 4: Simplify right side
    548,264x = 676,330,246,449
  5. Step 5: Solve for x
    x = 676,330,246,449/548,264
  6. Step 6: Final answer
    x = 1,233,585.00

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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.