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Finding the Third Proportional to 394,314.75 and 590,805.75

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Solution

The third proportional to 394,314.75 and 590,805.75 is: 885,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,314.75 : 590,805.75 = 590,805.75 : x
  2. Step 2: Convert to fraction form
    394,314.75/590,805.75 = 590,805.75/x
  3. Step 3: Cross multiply
    394,314.75x = 590,805.75 × 590,805.75
  4. Step 4: Simplify right side
    394,314.75x = 349,051,434,233.06
  5. Step 5: Solve for x
    x = 349,051,434,233.06/394,314.75
  6. Step 6: Final answer
    x = 885,210.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.