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Finding the Third Proportional to 391,128.75 and 812,235.09

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Solution

The third proportional to 391,128.75 and 812,235.09 is: 1,686,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,128.75 : 812,235.09 = 812,235.09 : x
  2. Step 2: Convert to fraction form
    391,128.75/812,235.09 = 812,235.09/x
  3. Step 3: Cross multiply
    391,128.75x = 812,235.09 × 812,235.09
  4. Step 4: Simplify right side
    391,128.75x = 659,725,847,519.07
  5. Step 5: Solve for x
    x = 659,725,847,519.07/391,128.75
  6. Step 6: Final answer
    x = 1,686,722.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.