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Finding the Third Proportional to 397,099.13 and 599,308.88

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Solution

The third proportional to 397,099.13 and 599,308.88 is: 904,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,099.13 : 599,308.88 = 599,308.88 : x
  2. Step 2: Convert to fraction form
    397,099.13/599,308.88 = 599,308.88/x
  3. Step 3: Cross multiply
    397,099.13x = 599,308.88 × 599,308.88
  4. Step 4: Simplify right side
    397,099.13x = 359,171,127,653.77
  5. Step 5: Solve for x
    x = 359,171,127,653.77/397,099.13
  6. Step 6: Final answer
    x = 904,487.33

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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.