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Finding the Third Proportional to 538,948 and 898,193

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Solution

The third proportional to 538,948 and 898,193 is: 1,496,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,948 : 898,193 = 898,193 : x
  2. Step 2: Convert to fraction form
    538,948/898,193 = 898,193/x
  3. Step 3: Cross multiply
    538,948x = 898,193 × 898,193
  4. Step 4: Simplify right side
    538,948x = 806,750,665,249
  5. Step 5: Solve for x
    x = 806,750,665,249/538,948
  6. Step 6: Final answer
    x = 1,496,898.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.