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Finding the Third Proportional to 212,591 and 462,549

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Solution

The third proportional to 212,591 and 462,549 is: 1,006,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,591 : 462,549 = 462,549 : x
  2. Step 2: Convert to fraction form
    212,591/462,549 = 462,549/x
  3. Step 3: Cross multiply
    212,591x = 462,549 × 462,549
  4. Step 4: Simplify right side
    212,591x = 213,951,577,401
  5. Step 5: Solve for x
    x = 213,951,577,401/212,591
  6. Step 6: Final answer
    x = 1,006,399.98

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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.