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Finding the Third Proportional to 215,534.25 and 468,375.75

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Solution

The third proportional to 215,534.25 and 468,375.75 is: 1,017,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,534.25 : 468,375.75 = 468,375.75 : x
  2. Step 2: Convert to fraction form
    215,534.25/468,375.75 = 468,375.75/x
  3. Step 3: Cross multiply
    215,534.25x = 468,375.75 × 468,375.75
  4. Step 4: Simplify right side
    215,534.25x = 219,375,843,188.06
  5. Step 5: Solve for x
    x = 219,375,843,188.06/215,534.25
  6. Step 6: Final answer
    x = 1,017,823.59

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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.