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Finding the Third Proportional to 300,067.88 and 651,648.38

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Solution

The third proportional to 300,067.88 and 651,648.38 is: 1,415,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,067.88 : 651,648.38 = 651,648.38 : x
  2. Step 2: Convert to fraction form
    300,067.88/651,648.38 = 651,648.38/x
  3. Step 3: Cross multiply
    300,067.88x = 651,648.38 × 651,648.38
  4. Step 4: Simplify right side
    300,067.88x = 424,645,604,640.14
  5. Step 5: Solve for x
    x = 424,645,604,640.14/300,067.88
  6. Step 6: Final answer
    x = 1,415,165.17

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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.