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Finding the Third Proportional to 379,903.50 and 810,654.75

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Solution

The third proportional to 379,903.50 and 810,654.75 is: 1,729,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,903.50 : 810,654.75 = 810,654.75 : x
  2. Step 2: Convert to fraction form
    379,903.50/810,654.75 = 810,654.75/x
  3. Step 3: Cross multiply
    379,903.50x = 810,654.75 × 810,654.75
  4. Step 4: Simplify right side
    379,903.50x = 657,161,123,697.56
  5. Step 5: Solve for x
    x = 657,161,123,697.56/379,903.50
  6. Step 6: Final answer
    x = 1,729,810.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.