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Finding the Third Proportional to 377,709.75 and 811,326.38

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Solution

The third proportional to 377,709.75 and 811,326.38 is: 1,742,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,709.75 : 811,326.38 = 811,326.38 : x
  2. Step 2: Convert to fraction form
    377,709.75/811,326.38 = 811,326.38/x
  3. Step 3: Cross multiply
    377,709.75x = 811,326.38 × 811,326.38
  4. Step 4: Simplify right side
    377,709.75x = 658,250,486,770.64
  5. Step 5: Solve for x
    x = 658,250,486,770.64/377,709.75
  6. Step 6: Final answer
    x = 1,742,741.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.