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Finding the Third Proportional to 601,758 and 846,675

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Solution

The third proportional to 601,758 and 846,675 is: 1,191,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,758 : 846,675 = 846,675 : x
  2. Step 2: Convert to fraction form
    601,758/846,675 = 846,675/x
  3. Step 3: Cross multiply
    601,758x = 846,675 × 846,675
  4. Step 4: Simplify right side
    601,758x = 716,858,555,625
  5. Step 5: Solve for x
    x = 716,858,555,625/601,758
  6. Step 6: Final answer
    x = 1,191,273.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.