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Finding the Third Proportional to 285,841.25 and 391,950.75

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Solution

The third proportional to 285,841.25 and 391,950.75 is: 537,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,841.25 : 391,950.75 = 391,950.75 : x
  2. Step 2: Convert to fraction form
    285,841.25/391,950.75 = 391,950.75/x
  3. Step 3: Cross multiply
    285,841.25x = 391,950.75 × 391,950.75
  4. Step 4: Simplify right side
    285,841.25x = 153,625,390,425.56
  5. Step 5: Solve for x
    x = 153,625,390,425.56/285,841.25
  6. Step 6: Final answer
    x = 537,450.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.