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Finding the Third Proportional to 378,897.75 and 739,035.14

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Solution

The third proportional to 378,897.75 and 739,035.14 is: 1,441,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,897.75 : 739,035.14 = 739,035.14 : x
  2. Step 2: Convert to fraction form
    378,897.75/739,035.14 = 739,035.14/x
  3. Step 3: Cross multiply
    378,897.75x = 739,035.14 × 739,035.14
  4. Step 4: Simplify right side
    378,897.75x = 546,172,939,078.61
  5. Step 5: Solve for x
    x = 546,172,939,078.61/378,897.75
  6. Step 6: Final answer
    x = 1,441,478.44

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.