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Finding the Third Proportional to 324,901.13 and 782,725.78

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Solution

The third proportional to 324,901.13 and 782,725.78 is: 1,885,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,901.13 : 782,725.78 = 782,725.78 : x
  2. Step 2: Convert to fraction form
    324,901.13/782,725.78 = 782,725.78/x
  3. Step 3: Cross multiply
    324,901.13x = 782,725.78 × 782,725.78
  4. Step 4: Simplify right side
    324,901.13x = 612,659,648,633.42
  5. Step 5: Solve for x
    x = 612,659,648,633.42/324,901.13
  6. Step 6: Final answer
    x = 1,885,680.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.