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Finding the Third Proportional to 378,001.69 and 791,010.56

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Solution

The third proportional to 378,001.69 and 791,010.56 is: 1,655,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,001.69 : 791,010.56 = 791,010.56 : x
  2. Step 2: Convert to fraction form
    378,001.69/791,010.56 = 791,010.56/x
  3. Step 3: Cross multiply
    378,001.69x = 791,010.56 × 791,010.56
  4. Step 4: Simplify right side
    378,001.69x = 625,697,709,986.57
  5. Step 5: Solve for x
    x = 625,697,709,986.57/378,001.69
  6. Step 6: Final answer
    x = 1,655,277.56

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.