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Finding the Third Proportional to 212,463 and 457,650

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Solution

The third proportional to 212,463 and 457,650 is: 985,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,463 : 457,650 = 457,650 : x
  2. Step 2: Convert to fraction form
    212,463/457,650 = 457,650/x
  3. Step 3: Cross multiply
    212,463x = 457,650 × 457,650
  4. Step 4: Simplify right side
    212,463x = 209,443,522,500
  5. Step 5: Solve for x
    x = 209,443,522,500/212,463
  6. Step 6: Final answer
    x = 985,788.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.