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Finding the Third Proportional to 214,113.38 and 457,751.25

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Solution

The third proportional to 214,113.38 and 457,751.25 is: 978,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,113.38 : 457,751.25 = 457,751.25 : x
  2. Step 2: Convert to fraction form
    214,113.38/457,751.25 = 457,751.25/x
  3. Step 3: Cross multiply
    214,113.38x = 457,751.25 × 457,751.25
  4. Step 4: Simplify right side
    214,113.38x = 209,536,206,876.56
  5. Step 5: Solve for x
    x = 209,536,206,876.56/214,113.38
  6. Step 6: Final answer
    x = 978,622.69

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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.