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Finding the Third Proportional to 215,601.75 and 468,838.13

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Solution

The third proportional to 215,601.75 and 468,838.13 is: 1,019,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,601.75 : 468,838.13 = 468,838.13 : x
  2. Step 2: Convert to fraction form
    215,601.75/468,838.13 = 468,838.13/x
  3. Step 3: Cross multiply
    215,601.75x = 468,838.13 × 468,838.13
  4. Step 4: Simplify right side
    215,601.75x = 219,809,187,453.52
  5. Step 5: Solve for x
    x = 219,809,187,453.52/215,601.75
  6. Step 6: Final answer
    x = 1,019,514.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.