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Finding the Third Proportional to 293,670.56 and 622,087.88

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Solution

The third proportional to 293,670.56 and 622,087.88 is: 1,317,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,670.56 : 622,087.88 = 622,087.88 : x
  2. Step 2: Convert to fraction form
    293,670.56/622,087.88 = 622,087.88/x
  3. Step 3: Cross multiply
    293,670.56x = 622,087.88 × 622,087.88
  4. Step 4: Simplify right side
    293,670.56x = 386,993,324,222.02
  5. Step 5: Solve for x
    x = 386,993,324,222.02/293,670.56
  6. Step 6: Final answer
    x = 1,317,780.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.