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Finding the Third Proportional to 547,192 and 874,164

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Solution

The third proportional to 547,192 and 874,164 is: 1,396,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,192 : 874,164 = 874,164 : x
  2. Step 2: Convert to fraction form
    547,192/874,164 = 874,164/x
  3. Step 3: Cross multiply
    547,192x = 874,164 × 874,164
  4. Step 4: Simplify right side
    547,192x = 764,162,698,896
  5. Step 5: Solve for x
    x = 764,162,698,896/547,192
  6. Step 6: Final answer
    x = 1,396,516.58

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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.