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Finding the Third Proportional to 218,966 and 472,114

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Solution

The third proportional to 218,966 and 472,114 is: 1,017,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,966 : 472,114 = 472,114 : x
  2. Step 2: Convert to fraction form
    218,966/472,114 = 472,114/x
  3. Step 3: Cross multiply
    218,966x = 472,114 × 472,114
  4. Step 4: Simplify right side
    218,966x = 222,891,628,996
  5. Step 5: Solve for x
    x = 222,891,628,996/218,966
  6. Step 6: Final answer
    x = 1,017,928.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.