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Finding the Third Proportional to 212,223 and 461,274

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Solution

The third proportional to 212,223 and 461,274 is: 1,002,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,223 : 461,274 = 461,274 : x
  2. Step 2: Convert to fraction form
    212,223/461,274 = 461,274/x
  3. Step 3: Cross multiply
    212,223x = 461,274 × 461,274
  4. Step 4: Simplify right side
    212,223x = 212,773,703,076
  5. Step 5: Solve for x
    x = 212,773,703,076/212,223
  6. Step 6: Final answer
    x = 1,002,594.93

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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.