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Finding the Third Proportional to 378,155 and 819,318.75

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Solution

The third proportional to 378,155 and 819,318.75 is: 1,775,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,155 : 819,318.75 = 819,318.75 : x
  2. Step 2: Convert to fraction form
    378,155/819,318.75 = 819,318.75/x
  3. Step 3: Cross multiply
    378,155x = 819,318.75 × 819,318.75
  4. Step 4: Simplify right side
    378,155x = 671,283,214,101.56
  5. Step 5: Solve for x
    x = 671,283,214,101.56/378,155
  6. Step 6: Final answer
    x = 1,775,153.61

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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.