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Finding the Third Proportional to 397,014.75 and 599,221.13

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Solution

The third proportional to 397,014.75 and 599,221.13 is: 904,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,014.75 : 599,221.13 = 599,221.13 : x
  2. Step 2: Convert to fraction form
    397,014.75/599,221.13 = 599,221.13/x
  3. Step 3: Cross multiply
    397,014.75x = 599,221.13 × 599,221.13
  4. Step 4: Simplify right side
    397,014.75x = 359,065,956,646.27
  5. Step 5: Solve for x
    x = 359,065,956,646.27/397,014.75
  6. Step 6: Final answer
    x = 904,414.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.