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Finding the Third Proportional to 547,148.81 and 874,081.97

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Solution

The third proportional to 547,148.81 and 874,081.97 is: 1,396,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,148.81 : 874,081.97 = 874,081.97 : x
  2. Step 2: Convert to fraction form
    547,148.81/874,081.97 = 874,081.97/x
  3. Step 3: Cross multiply
    547,148.81x = 874,081.97 × 874,081.97
  4. Step 4: Simplify right side
    547,148.81x = 764,019,288,093.88
  5. Step 5: Solve for x
    x = 764,019,288,093.88/547,148.81
  6. Step 6: Final answer
    x = 1,396,364.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.