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Finding the Third Proportional to 417,214 and 897,302

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Solution

The third proportional to 417,214 and 897,302 is: 1,929,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,214 : 897,302 = 897,302 : x
  2. Step 2: Convert to fraction form
    417,214/897,302 = 897,302/x
  3. Step 3: Cross multiply
    417,214x = 897,302 × 897,302
  4. Step 4: Simplify right side
    417,214x = 805,150,879,204
  5. Step 5: Solve for x
    x = 805,150,879,204/417,214
  6. Step 6: Final answer
    x = 1,929,827.09

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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.