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Finding the Third Proportional to 229,711.50 and 496,356.75

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Solution

The third proportional to 229,711.50 and 496,356.75 is: 1,072,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,711.50 : 496,356.75 = 496,356.75 : x
  2. Step 2: Convert to fraction form
    229,711.50/496,356.75 = 496,356.75/x
  3. Step 3: Cross multiply
    229,711.50x = 496,356.75 × 496,356.75
  4. Step 4: Simplify right side
    229,711.50x = 246,370,023,270.56
  5. Step 5: Solve for x
    x = 246,370,023,270.56/229,711.50
  6. Step 6: Final answer
    x = 1,072,519.33

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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.