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Finding the Third Proportional to 560,583.07 and 1,195,908.89

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Solution

The third proportional to 560,583.07 and 1,195,908.89 is: 2,551,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,583.07 : 1,195,908.89 = 1,195,908.89 : x
  2. Step 2: Convert to fraction form
    560,583.07/1,195,908.89 = 1,195,908.89/x
  3. Step 3: Cross multiply
    560,583.07x = 1,195,908.89 × 1,195,908.89
  4. Step 4: Simplify right side
    560,583.07x = 1,430,198,074,675.92
  5. Step 5: Solve for x
    x = 1,430,198,074,675.92/560,583.07
  6. Step 6: Final answer
    x = 2,551,268.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.