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Finding the Third Proportional to 417,195 and 897,267

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Solution

The third proportional to 417,195 and 897,267 is: 1,929,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,195 : 897,267 = 897,267 : x
  2. Step 2: Convert to fraction form
    417,195/897,267 = 897,267/x
  3. Step 3: Cross multiply
    417,195x = 897,267 × 897,267
  4. Step 4: Simplify right side
    417,195x = 805,088,069,289
  5. Step 5: Solve for x
    x = 805,088,069,289/417,195
  6. Step 6: Final answer
    x = 1,929,764.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.