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Finding the Third Proportional to 378,653.06 and 810,507.09

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Solution

The third proportional to 378,653.06 and 810,507.09 is: 1,734,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,653.06 : 810,507.09 = 810,507.09 : x
  2. Step 2: Convert to fraction form
    378,653.06/810,507.09 = 810,507.09/x
  3. Step 3: Cross multiply
    378,653.06x = 810,507.09 × 810,507.09
  4. Step 4: Simplify right side
    378,653.06x = 656,921,749,019.07
  5. Step 5: Solve for x
    x = 656,921,749,019.07/378,653.06
  6. Step 6: Final answer
    x = 1,734,890.89

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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.