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Finding the Third Proportional to 212,583 and 466,634

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Solution

The third proportional to 212,583 and 466,634 is: 1,024,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,583 : 466,634 = 466,634 : x
  2. Step 2: Convert to fraction form
    212,583/466,634 = 466,634/x
  3. Step 3: Cross multiply
    212,583x = 466,634 × 466,634
  4. Step 4: Simplify right side
    212,583x = 217,747,289,956
  5. Step 5: Solve for x
    x = 217,747,289,956/212,583
  6. Step 6: Final answer
    x = 1,024,293.05

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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.