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Finding the Third Proportional to 286,502.06 and 622,287.56

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Solution

The third proportional to 286,502.06 and 622,287.56 is: 1,351,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,502.06 : 622,287.56 = 622,287.56 : x
  2. Step 2: Convert to fraction form
    286,502.06/622,287.56 = 622,287.56/x
  3. Step 3: Cross multiply
    286,502.06x = 622,287.56 × 622,287.56
  4. Step 4: Simplify right side
    286,502.06x = 387,241,810,442.19
  5. Step 5: Solve for x
    x = 387,241,810,442.19/286,502.06
  6. Step 6: Final answer
    x = 1,351,619.63

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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.