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Finding the Third Proportional to 212,050.50 and 454,812

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Solution

The third proportional to 212,050.50 and 454,812 is: 975,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,050.50 : 454,812 = 454,812 : x
  2. Step 2: Convert to fraction form
    212,050.50/454,812 = 454,812/x
  3. Step 3: Cross multiply
    212,050.50x = 454,812 × 454,812
  4. Step 4: Simplify right side
    212,050.50x = 206,853,955,344
  5. Step 5: Solve for x
    x = 206,853,955,344/212,050.50
  6. Step 6: Final answer
    x = 975,493.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.