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Finding the Third Proportional to 363,269.81 and 560,233.97

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Solution

The third proportional to 363,269.81 and 560,233.97 is: 863,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,269.81 : 560,233.97 = 560,233.97 : x
  2. Step 2: Convert to fraction form
    363,269.81/560,233.97 = 560,233.97/x
  3. Step 3: Cross multiply
    363,269.81x = 560,233.97 × 560,233.97
  4. Step 4: Simplify right side
    363,269.81x = 313,862,099,741.38
  5. Step 5: Solve for x
    x = 313,862,099,741.38/363,269.81
  6. Step 6: Final answer
    x = 863,991.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.