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Finding the Third Proportional to 244,205.50 and 527,925

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Solution

The third proportional to 244,205.50 and 527,925 is: 1,141,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,205.50 : 527,925 = 527,925 : x
  2. Step 2: Convert to fraction form
    244,205.50/527,925 = 527,925/x
  3. Step 3: Cross multiply
    244,205.50x = 527,925 × 527,925
  4. Step 4: Simplify right side
    244,205.50x = 278,704,805,625
  5. Step 5: Solve for x
    x = 278,704,805,625/244,205.50
  6. Step 6: Final answer
    x = 1,141,271.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.