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Finding the Third Proportional to 548,592 and 822,889

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Solution

The third proportional to 548,592 and 822,889 is: 1,234,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,592 : 822,889 = 822,889 : x
  2. Step 2: Convert to fraction form
    548,592/822,889 = 822,889/x
  3. Step 3: Cross multiply
    548,592x = 822,889 × 822,889
  4. Step 4: Simplify right side
    548,592x = 677,146,306,321
  5. Step 5: Solve for x
    x = 677,146,306,321/548,592
  6. Step 6: Final answer
    x = 1,234,335.00

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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.