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Finding the Third Proportional to 212,579 and 466,625

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Solution

The third proportional to 212,579 and 466,625 is: 1,024,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,579 : 466,625 = 466,625 : x
  2. Step 2: Convert to fraction form
    212,579/466,625 = 466,625/x
  3. Step 3: Cross multiply
    212,579x = 466,625 × 466,625
  4. Step 4: Simplify right side
    212,579x = 217,738,890,625
  5. Step 5: Solve for x
    x = 217,738,890,625/212,579
  6. Step 6: Final answer
    x = 1,024,272.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.