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Finding the Third Proportional to 370,081.97 and 557,856.84

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Solution

The third proportional to 370,081.97 and 557,856.84 is: 840,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,081.97 : 557,856.84 = 557,856.84 : x
  2. Step 2: Convert to fraction form
    370,081.97/557,856.84 = 557,856.84/x
  3. Step 3: Cross multiply
    370,081.97x = 557,856.84 × 557,856.84
  4. Step 4: Simplify right side
    370,081.97x = 311,204,258,118.71
  5. Step 5: Solve for x
    x = 311,204,258,118.71/370,081.97
  6. Step 6: Final answer
    x = 840,906.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.