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Finding the Third Proportional to 275,632.13 and 593,493

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Solution

The third proportional to 275,632.13 and 593,493 is: 1,277,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,632.13 : 593,493 = 593,493 : x
  2. Step 2: Convert to fraction form
    275,632.13/593,493 = 593,493/x
  3. Step 3: Cross multiply
    275,632.13x = 593,493 × 593,493
  4. Step 4: Simplify right side
    275,632.13x = 352,233,941,049
  5. Step 5: Solve for x
    x = 352,233,941,049/275,632.13
  6. Step 6: Final answer
    x = 1,277,913.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.