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Finding the Third Proportional to 598,928 and 880,876

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Solution

The third proportional to 598,928 and 880,876 is: 1,295,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,928 : 880,876 = 880,876 : x
  2. Step 2: Convert to fraction form
    598,928/880,876 = 880,876/x
  3. Step 3: Cross multiply
    598,928x = 880,876 × 880,876
  4. Step 4: Simplify right side
    598,928x = 775,942,527,376
  5. Step 5: Solve for x
    x = 775,942,527,376/598,928
  6. Step 6: Final answer
    x = 1,295,552.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.