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Finding the Third Proportional to 272,067.75 and 590,730.75

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Solution

The third proportional to 272,067.75 and 590,730.75 is: 1,282,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,067.75 : 590,730.75 = 590,730.75 : x
  2. Step 2: Convert to fraction form
    272,067.75/590,730.75 = 590,730.75/x
  3. Step 3: Cross multiply
    272,067.75x = 590,730.75 × 590,730.75
  4. Step 4: Simplify right side
    272,067.75x = 348,962,818,995.56
  5. Step 5: Solve for x
    x = 348,962,818,995.56/272,067.75
  6. Step 6: Final answer
    x = 1,282,632.06

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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.