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Finding the Third Proportional to 547,249 and 874,215

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Solution

The third proportional to 547,249 and 874,215 is: 1,396,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,249 : 874,215 = 874,215 : x
  2. Step 2: Convert to fraction form
    547,249/874,215 = 874,215/x
  3. Step 3: Cross multiply
    547,249x = 874,215 × 874,215
  4. Step 4: Simplify right side
    547,249x = 764,251,866,225
  5. Step 5: Solve for x
    x = 764,251,866,225/547,249
  6. Step 6: Final answer
    x = 1,396,534.06

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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.