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Finding the Third Proportional to 256,440.75 and 593,613.75

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Solution

The third proportional to 256,440.75 and 593,613.75 is: 1,374,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,440.75 : 593,613.75 = 593,613.75 : x
  2. Step 2: Convert to fraction form
    256,440.75/593,613.75 = 593,613.75/x
  3. Step 3: Cross multiply
    256,440.75x = 593,613.75 × 593,613.75
  4. Step 4: Simplify right side
    256,440.75x = 352,377,284,189.06
  5. Step 5: Solve for x
    x = 352,377,284,189.06/256,440.75
  6. Step 6: Final answer
    x = 1,374,107.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.