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Finding the Third Proportional to 527,231.25 and 798,240.75

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Solution

The third proportional to 527,231.25 and 798,240.75 is: 1,208,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,231.25 : 798,240.75 = 798,240.75 : x
  2. Step 2: Convert to fraction form
    527,231.25/798,240.75 = 798,240.75/x
  3. Step 3: Cross multiply
    527,231.25x = 798,240.75 × 798,240.75
  4. Step 4: Simplify right side
    527,231.25x = 637,188,294,960.56
  5. Step 5: Solve for x
    x = 637,188,294,960.56/527,231.25
  6. Step 6: Final answer
    x = 1,208,555.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.