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Finding the Third Proportional to 259,057.13 and 399,659.63

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Solution

The third proportional to 259,057.13 and 399,659.63 is: 616,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,057.13 : 399,659.63 = 399,659.63 : x
  2. Step 2: Convert to fraction form
    259,057.13/399,659.63 = 399,659.63/x
  3. Step 3: Cross multiply
    259,057.13x = 399,659.63 × 399,659.63
  4. Step 4: Simplify right side
    259,057.13x = 159,727,815,855.14
  5. Step 5: Solve for x
    x = 159,727,815,855.14/259,057.13
  6. Step 6: Final answer
    x = 616,573.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.