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Finding the Third Proportional to 394,867.13 and 577,491.75

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Solution

The third proportional to 394,867.13 and 577,491.75 is: 844,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,867.13 : 577,491.75 = 577,491.75 : x
  2. Step 2: Convert to fraction form
    394,867.13/577,491.75 = 577,491.75/x
  3. Step 3: Cross multiply
    394,867.13x = 577,491.75 × 577,491.75
  4. Step 4: Simplify right side
    394,867.13x = 333,496,721,318.06
  5. Step 5: Solve for x
    x = 333,496,721,318.06/394,867.13
  6. Step 6: Final answer
    x = 844,579.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.