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Finding the Third Proportional to 283,767.75 and 593,817.75

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Solution

The third proportional to 283,767.75 and 593,817.75 is: 1,242,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,767.75 : 593,817.75 = 593,817.75 : x
  2. Step 2: Convert to fraction form
    283,767.75/593,817.75 = 593,817.75/x
  3. Step 3: Cross multiply
    283,767.75x = 593,817.75 × 593,817.75
  4. Step 4: Simplify right side
    283,767.75x = 352,619,520,215.06
  5. Step 5: Solve for x
    x = 352,619,520,215.06/283,767.75
  6. Step 6: Final answer
    x = 1,242,634.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.