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Finding the Third Proportional to 259,584.75 and 379,171.13

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Solution

The third proportional to 259,584.75 and 379,171.13 is: 553,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,584.75 : 379,171.13 = 379,171.13 : x
  2. Step 2: Convert to fraction form
    259,584.75/379,171.13 = 379,171.13/x
  3. Step 3: Cross multiply
    259,584.75x = 379,171.13 × 379,171.13
  4. Step 4: Simplify right side
    259,584.75x = 143,770,742,033.77
  5. Step 5: Solve for x
    x = 143,770,742,033.77/259,584.75
  6. Step 6: Final answer
    x = 553,848.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.