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Finding the Third Proportional to 431,676 and 1,008,250

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Solution

The third proportional to 431,676 and 1,008,250 is: 2,354,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,676 : 1,008,250 = 1,008,250 : x
  2. Step 2: Convert to fraction form
    431,676/1,008,250 = 1,008,250/x
  3. Step 3: Cross multiply
    431,676x = 1,008,250 × 1,008,250
  4. Step 4: Simplify right side
    431,676x = 1,016,568,062,500
  5. Step 5: Solve for x
    x = 1,016,568,062,500/431,676
  6. Step 6: Final answer
    x = 2,354,933.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.