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Finding the Third Proportional to 360,923.34 and 784,201.82

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Solution

The third proportional to 360,923.34 and 784,201.82 is: 1,703,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,923.34 : 784,201.82 = 784,201.82 : x
  2. Step 2: Convert to fraction form
    360,923.34/784,201.82 = 784,201.82/x
  3. Step 3: Cross multiply
    360,923.34x = 784,201.82 × 784,201.82
  4. Step 4: Simplify right side
    360,923.34x = 614,972,488,854.86
  5. Step 5: Solve for x
    x = 614,972,488,854.86/360,923.34
  6. Step 6: Final answer
    x = 1,703,886.71

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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.