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Finding the Third Proportional to 361,879.50 and 773,454.38

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Solution

The third proportional to 361,879.50 and 773,454.38 is: 1,653,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,879.50 : 773,454.38 = 773,454.38 : x
  2. Step 2: Convert to fraction form
    361,879.50/773,454.38 = 773,454.38/x
  3. Step 3: Cross multiply
    361,879.50x = 773,454.38 × 773,454.38
  4. Step 4: Simplify right side
    361,879.50x = 598,231,670,206.64
  5. Step 5: Solve for x
    x = 598,231,670,206.64/361,879.50
  6. Step 6: Final answer
    x = 1,653,123.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.