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Finding the Third Proportional to 515,067 and 757,184.25

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Solution

The third proportional to 515,067 and 757,184.25 is: 1,113,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,067 : 757,184.25 = 757,184.25 : x
  2. Step 2: Convert to fraction form
    515,067/757,184.25 = 757,184.25/x
  3. Step 3: Cross multiply
    515,067x = 757,184.25 × 757,184.25
  4. Step 4: Simplify right side
    515,067x = 573,327,988,448.06
  5. Step 5: Solve for x
    x = 573,327,988,448.06/515,067
  6. Step 6: Final answer
    x = 1,113,113.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.