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Finding the Third Proportional to 397,908.42 and 863,106.33

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Solution

The third proportional to 397,908.42 and 863,106.33 is: 1,872,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,908.42 : 863,106.33 = 863,106.33 : x
  2. Step 2: Convert to fraction form
    397,908.42/863,106.33 = 863,106.33/x
  3. Step 3: Cross multiply
    397,908.42x = 863,106.33 × 863,106.33
  4. Step 4: Simplify right side
    397,908.42x = 744,952,533,649.42
  5. Step 5: Solve for x
    x = 744,952,533,649.42/397,908.42
  6. Step 6: Final answer
    x = 1,872,170.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.