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Finding the Third Proportional to 299,451.66 and 448,716.09

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Solution

The third proportional to 299,451.66 and 448,716.09 is: 672,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,451.66 : 448,716.09 = 448,716.09 : x
  2. Step 2: Convert to fraction form
    299,451.66/448,716.09 = 448,716.09/x
  3. Step 3: Cross multiply
    299,451.66x = 448,716.09 × 448,716.09
  4. Step 4: Simplify right side
    299,451.66x = 201,346,132,790.26
  5. Step 5: Solve for x
    x = 201,346,132,790.26/299,451.66
  6. Step 6: Final answer
    x = 672,382.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.