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Finding the Third Proportional to 215,606 and 460,767

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Solution

The third proportional to 215,606 and 460,767 is: 984,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,606 : 460,767 = 460,767 : x
  2. Step 2: Convert to fraction form
    215,606/460,767 = 460,767/x
  3. Step 3: Cross multiply
    215,606x = 460,767 × 460,767
  4. Step 4: Simplify right side
    215,606x = 212,306,228,289
  5. Step 5: Solve for x
    x = 212,306,228,289/215,606
  6. Step 6: Final answer
    x = 984,695.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.