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Finding the Third Proportional to 402,286.50 and 794,306.25

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Solution

The third proportional to 402,286.50 and 794,306.25 is: 1,568,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,286.50 : 794,306.25 = 794,306.25 : x
  2. Step 2: Convert to fraction form
    402,286.50/794,306.25 = 794,306.25/x
  3. Step 3: Cross multiply
    402,286.50x = 794,306.25 × 794,306.25
  4. Step 4: Simplify right side
    402,286.50x = 630,922,418,789.06
  5. Step 5: Solve for x
    x = 630,922,418,789.06/402,286.50
  6. Step 6: Final answer
    x = 1,568,341.02

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.