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Finding the Third Proportional to 218,128 and 461,406

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Solution

The third proportional to 218,128 and 461,406 is: 976,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,128 : 461,406 = 461,406 : x
  2. Step 2: Convert to fraction form
    218,128/461,406 = 461,406/x
  3. Step 3: Cross multiply
    218,128x = 461,406 × 461,406
  4. Step 4: Simplify right side
    218,128x = 212,895,496,836
  5. Step 5: Solve for x
    x = 212,895,496,836/218,128
  6. Step 6: Final answer
    x = 976,011.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.