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Finding the Third Proportional to 560,003.63 and 861,252.75

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Solution

The third proportional to 560,003.63 and 861,252.75 is: 1,324,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,003.63 : 861,252.75 = 861,252.75 : x
  2. Step 2: Convert to fraction form
    560,003.63/861,252.75 = 861,252.75/x
  3. Step 3: Cross multiply
    560,003.63x = 861,252.75 × 861,252.75
  4. Step 4: Simplify right side
    560,003.63x = 741,756,299,382.56
  5. Step 5: Solve for x
    x = 741,756,299,382.56/560,003.63
  6. Step 6: Final answer
    x = 1,324,556.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.