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Finding the Third Proportional to 601,540.50 and 1,337,574.75

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Solution

The third proportional to 601,540.50 and 1,337,574.75 is: 2,974,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,540.50 : 1,337,574.75 = 1,337,574.75 : x
  2. Step 2: Convert to fraction form
    601,540.50/1,337,574.75 = 1,337,574.75/x
  3. Step 3: Cross multiply
    601,540.50x = 1,337,574.75 × 1,337,574.75
  4. Step 4: Simplify right side
    601,540.50x = 1,789,106,211,837.56
  5. Step 5: Solve for x
    x = 1,789,106,211,837.56/601,540.50
  6. Step 6: Final answer
    x = 2,974,207.41

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.