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Finding the Third Proportional to 338,377.50 and 704,742.19

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Solution

The third proportional to 338,377.50 and 704,742.19 is: 1,467,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,377.50 : 704,742.19 = 704,742.19 : x
  2. Step 2: Convert to fraction form
    338,377.50/704,742.19 = 704,742.19/x
  3. Step 3: Cross multiply
    338,377.50x = 704,742.19 × 704,742.19
  4. Step 4: Simplify right side
    338,377.50x = 496,661,550,842.29
  5. Step 5: Solve for x
    x = 496,661,550,842.29/338,377.50
  6. Step 6: Final answer
    x = 1,467,773.57

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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.