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Finding the Third Proportional to 212,847.75 and 453,863.25

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Solution

The third proportional to 212,847.75 and 453,863.25 is: 967,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,847.75 : 453,863.25 = 453,863.25 : x
  2. Step 2: Convert to fraction form
    212,847.75/453,863.25 = 453,863.25/x
  3. Step 3: Cross multiply
    212,847.75x = 453,863.25 × 453,863.25
  4. Step 4: Simplify right side
    212,847.75x = 205,991,849,700.56
  5. Step 5: Solve for x
    x = 205,991,849,700.56/212,847.75
  6. Step 6: Final answer
    x = 967,789.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.