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Finding the Third Proportional to 214,327.27 and 465,590.53

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Solution

The third proportional to 214,327.27 and 465,590.53 is: 1,011,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,327.27 : 465,590.53 = 465,590.53 : x
  2. Step 2: Convert to fraction form
    214,327.27/465,590.53 = 465,590.53/x
  3. Step 3: Cross multiply
    214,327.27x = 465,590.53 × 465,590.53
  4. Step 4: Simplify right side
    214,327.27x = 216,774,542,789.66
  5. Step 5: Solve for x
    x = 216,774,542,789.66/214,327.27
  6. Step 6: Final answer
    x = 1,011,418.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.