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Finding the Third Proportional to 212,493 and 464,406

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Solution

The third proportional to 212,493 and 464,406 is: 1,014,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,493 : 464,406 = 464,406 : x
  2. Step 2: Convert to fraction form
    212,493/464,406 = 464,406/x
  3. Step 3: Cross multiply
    212,493x = 464,406 × 464,406
  4. Step 4: Simplify right side
    212,493x = 215,672,932,836
  5. Step 5: Solve for x
    x = 215,672,932,836/212,493
  6. Step 6: Final answer
    x = 1,014,964.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.