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Finding the Third Proportional to 548,571 and 822,856.50

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Solution

The third proportional to 548,571 and 822,856.50 is: 1,234,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,571 : 822,856.50 = 822,856.50 : x
  2. Step 2: Convert to fraction form
    548,571/822,856.50 = 822,856.50/x
  3. Step 3: Cross multiply
    548,571x = 822,856.50 × 822,856.50
  4. Step 4: Simplify right side
    548,571x = 677,092,819,592.25
  5. Step 5: Solve for x
    x = 677,092,819,592.25/548,571
  6. Step 6: Final answer
    x = 1,234,284.75

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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.