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Finding the Third Proportional to 548,596 and 822,895

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Solution

The third proportional to 548,596 and 822,895 is: 1,234,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,596 : 822,895 = 822,895 : x
  2. Step 2: Convert to fraction form
    548,596/822,895 = 822,895/x
  3. Step 3: Cross multiply
    548,596x = 822,895 × 822,895
  4. Step 4: Simplify right side
    548,596x = 677,156,181,025
  5. Step 5: Solve for x
    x = 677,156,181,025/548,596
  6. Step 6: Final answer
    x = 1,234,344.00

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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.