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Finding the Third Proportional to 302,813.44 and 655,791.19

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Solution

The third proportional to 302,813.44 and 655,791.19 is: 1,420,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,813.44 : 655,791.19 = 655,791.19 : x
  2. Step 2: Convert to fraction form
    302,813.44/655,791.19 = 655,791.19/x
  3. Step 3: Cross multiply
    302,813.44x = 655,791.19 × 655,791.19
  4. Step 4: Simplify right side
    302,813.44x = 430,062,081,602.66
  5. Step 5: Solve for x
    x = 430,062,081,602.66/302,813.44
  6. Step 6: Final answer
    x = 1,420,221.26

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