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Finding the Third Proportional to 212,274 and 462,023

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Solution

The third proportional to 212,274 and 462,023 is: 1,005,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,274 : 462,023 = 462,023 : x
  2. Step 2: Convert to fraction form
    212,274/462,023 = 462,023/x
  3. Step 3: Cross multiply
    212,274x = 462,023 × 462,023
  4. Step 4: Simplify right side
    212,274x = 213,465,252,529
  5. Step 5: Solve for x
    x = 213,465,252,529/212,274
  6. Step 6: Final answer
    x = 1,005,611.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.