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Finding the Third Proportional to 395,704.41 and 613,104.19

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Solution

The third proportional to 395,704.41 and 613,104.19 is: 949,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,704.41 : 613,104.19 = 613,104.19 : x
  2. Step 2: Convert to fraction form
    395,704.41/613,104.19 = 613,104.19/x
  3. Step 3: Cross multiply
    395,704.41x = 613,104.19 × 613,104.19
  4. Step 4: Simplify right side
    395,704.41x = 375,896,744,730.04
  5. Step 5: Solve for x
    x = 375,896,744,730.04/395,704.41
  6. Step 6: Final answer
    x = 949,943.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.