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Finding the Third Proportional to 650,141.44 and 862,667.72

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Solution

The third proportional to 650,141.44 and 862,667.72 is: 1,144,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,141.44 : 862,667.72 = 862,667.72 : x
  2. Step 2: Convert to fraction form
    650,141.44/862,667.72 = 862,667.72/x
  3. Step 3: Cross multiply
    650,141.44x = 862,667.72 × 862,667.72
  4. Step 4: Simplify right side
    650,141.44x = 744,195,592,973.33
  5. Step 5: Solve for x
    x = 744,195,592,973.33/650,141.44
  6. Step 6: Final answer
    x = 1,144,667.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.