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Finding the Third Proportional to 228,947.25 and 503,571

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Solution

The third proportional to 228,947.25 and 503,571 is: 1,107,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,947.25 : 503,571 = 503,571 : x
  2. Step 2: Convert to fraction form
    228,947.25/503,571 = 503,571/x
  3. Step 3: Cross multiply
    228,947.25x = 503,571 × 503,571
  4. Step 4: Simplify right side
    228,947.25x = 253,583,752,041
  5. Step 5: Solve for x
    x = 253,583,752,041/228,947.25
  6. Step 6: Final answer
    x = 1,107,607.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.