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Finding the Third Proportional to 214,632 and 466,169

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Solution

The third proportional to 214,632 and 466,169 is: 1,012,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,632 : 466,169 = 466,169 : x
  2. Step 2: Convert to fraction form
    214,632/466,169 = 466,169/x
  3. Step 3: Cross multiply
    214,632x = 466,169 × 466,169
  4. Step 4: Simplify right side
    214,632x = 217,313,536,561
  5. Step 5: Solve for x
    x = 217,313,536,561/214,632
  6. Step 6: Final answer
    x = 1,012,493.65

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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.