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Finding the Third Proportional to 382,081.43 and 795,173.84

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Solution

The third proportional to 382,081.43 and 795,173.84 is: 1,654,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,081.43 : 795,173.84 = 795,173.84 : x
  2. Step 2: Convert to fraction form
    382,081.43/795,173.84 = 795,173.84/x
  3. Step 3: Cross multiply
    382,081.43x = 795,173.84 × 795,173.84
  4. Step 4: Simplify right side
    382,081.43x = 632,301,429,359.56
  5. Step 5: Solve for x
    x = 632,301,429,359.56/382,081.43
  6. Step 6: Final answer
    x = 1,654,886.58

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Why These Related Problems?

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