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Finding the Third Proportional to 515,067.75 and 757,710.75

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Solution

The third proportional to 515,067.75 and 757,710.75 is: 1,114,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,067.75 : 757,710.75 = 757,710.75 : x
  2. Step 2: Convert to fraction form
    515,067.75/757,710.75 = 757,710.75/x
  3. Step 3: Cross multiply
    515,067.75x = 757,710.75 × 757,710.75
  4. Step 4: Simplify right side
    515,067.75x = 574,125,580,665.56
  5. Step 5: Solve for x
    x = 574,125,580,665.56/515,067.75
  6. Step 6: Final answer
    x = 1,114,660.32

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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.