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Finding the Third Proportional to 547,211 and 874,165

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Solution

The third proportional to 547,211 and 874,165 is: 1,396,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,211 : 874,165 = 874,165 : x
  2. Step 2: Convert to fraction form
    547,211/874,165 = 874,165/x
  3. Step 3: Cross multiply
    547,211x = 874,165 × 874,165
  4. Step 4: Simplify right side
    547,211x = 764,164,447,225
  5. Step 5: Solve for x
    x = 764,164,447,225/547,211
  6. Step 6: Final answer
    x = 1,396,471.28

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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.