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Finding the Third Proportional to 378,184.38 and 819,371.63

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Solution

The third proportional to 378,184.38 and 819,371.63 is: 1,775,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,184.38 : 819,371.63 = 819,371.63 : x
  2. Step 2: Convert to fraction form
    378,184.38/819,371.63 = 819,371.63/x
  3. Step 3: Cross multiply
    378,184.38x = 819,371.63 × 819,371.63
  4. Step 4: Simplify right side
    378,184.38x = 671,369,859,855.14
  5. Step 5: Solve for x
    x = 671,369,859,855.14/378,184.38
  6. Step 6: Final answer
    x = 1,775,244.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.