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Finding the Third Proportional to 214,077.94 and 466,296.75

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Solution

The third proportional to 214,077.94 and 466,296.75 is: 1,015,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,077.94 : 466,296.75 = 466,296.75 : x
  2. Step 2: Convert to fraction form
    214,077.94/466,296.75 = 466,296.75/x
  3. Step 3: Cross multiply
    214,077.94x = 466,296.75 × 466,296.75
  4. Step 4: Simplify right side
    214,077.94x = 217,432,659,060.56
  5. Step 5: Solve for x
    x = 217,432,659,060.56/214,077.94
  6. Step 6: Final answer
    x = 1,015,670.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.