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Finding the Third Proportional to 214,637 and 466,177

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Solution

The third proportional to 214,637 and 466,177 is: 1,012,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,637 : 466,177 = 466,177 : x
  2. Step 2: Convert to fraction form
    214,637/466,177 = 466,177/x
  3. Step 3: Cross multiply
    214,637x = 466,177 × 466,177
  4. Step 4: Simplify right side
    214,637x = 217,320,995,329
  5. Step 5: Solve for x
    x = 217,320,995,329/214,637
  6. Step 6: Final answer
    x = 1,012,504.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.