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Finding the Third Proportional to 299,087.44 and 656,295.75

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Solution

The third proportional to 299,087.44 and 656,295.75 is: 1,440,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,087.44 : 656,295.75 = 656,295.75 : x
  2. Step 2: Convert to fraction form
    299,087.44/656,295.75 = 656,295.75/x
  3. Step 3: Cross multiply
    299,087.44x = 656,295.75 × 656,295.75
  4. Step 4: Simplify right side
    299,087.44x = 430,724,111,468.06
  5. Step 5: Solve for x
    x = 430,724,111,468.06/299,087.44
  6. Step 6: Final answer
    x = 1,440,127.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.