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Finding the Third Proportional to 399,540.75 and 877,812.75

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Solution

The third proportional to 399,540.75 and 877,812.75 is: 1,928,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,540.75 : 877,812.75 = 877,812.75 : x
  2. Step 2: Convert to fraction form
    399,540.75/877,812.75 = 877,812.75/x
  3. Step 3: Cross multiply
    399,540.75x = 877,812.75 × 877,812.75
  4. Step 4: Simplify right side
    399,540.75x = 770,555,224,062.56
  5. Step 5: Solve for x
    x = 770,555,224,062.56/399,540.75
  6. Step 6: Final answer
    x = 1,928,602.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.