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Finding the Third Proportional to 378,769.50 and 810,072

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Solution

The third proportional to 378,769.50 and 810,072 is: 1,732,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,769.50 : 810,072 = 810,072 : x
  2. Step 2: Convert to fraction form
    378,769.50/810,072 = 810,072/x
  3. Step 3: Cross multiply
    378,769.50x = 810,072 × 810,072
  4. Step 4: Simplify right side
    378,769.50x = 656,216,645,184
  5. Step 5: Solve for x
    x = 656,216,645,184/378,769.50
  6. Step 6: Final answer
    x = 1,732,496.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.