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Finding the Third Proportional to 374,842.38 and 816,239.75

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Solution

The third proportional to 374,842.38 and 816,239.75 is: 1,777,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,842.38 : 816,239.75 = 816,239.75 : x
  2. Step 2: Convert to fraction form
    374,842.38/816,239.75 = 816,239.75/x
  3. Step 3: Cross multiply
    374,842.38x = 816,239.75 × 816,239.75
  4. Step 4: Simplify right side
    374,842.38x = 666,247,329,480.06
  5. Step 5: Solve for x
    x = 666,247,329,480.06/374,842.38
  6. Step 6: Final answer
    x = 1,777,406.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.