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Finding the Third Proportional to 310,853.81 and 494,305.31

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Solution

The third proportional to 310,853.81 and 494,305.31 is: 786,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,853.81 : 494,305.31 = 494,305.31 : x
  2. Step 2: Convert to fraction form
    310,853.81/494,305.31 = 494,305.31/x
  3. Step 3: Cross multiply
    310,853.81x = 494,305.31 × 494,305.31
  4. Step 4: Simplify right side
    310,853.81x = 244,337,741,965.72
  5. Step 5: Solve for x
    x = 244,337,741,965.72/310,853.81
  6. Step 6: Final answer
    x = 786,021.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.