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Finding the Third Proportional to 218,264 and 482,412

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Solution

The third proportional to 218,264 and 482,412 is: 1,066,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,264 : 482,412 = 482,412 : x
  2. Step 2: Convert to fraction form
    218,264/482,412 = 482,412/x
  3. Step 3: Cross multiply
    218,264x = 482,412 × 482,412
  4. Step 4: Simplify right side
    218,264x = 232,721,337,744
  5. Step 5: Solve for x
    x = 232,721,337,744/218,264
  6. Step 6: Final answer
    x = 1,066,237.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.