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Finding the Third Proportional to 508,369.50 and 1,003,983

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Solution

The third proportional to 508,369.50 and 1,003,983 is: 1,982,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,369.50 : 1,003,983 = 1,003,983 : x
  2. Step 2: Convert to fraction form
    508,369.50/1,003,983 = 1,003,983/x
  3. Step 3: Cross multiply
    508,369.50x = 1,003,983 × 1,003,983
  4. Step 4: Simplify right side
    508,369.50x = 1,007,981,864,289
  5. Step 5: Solve for x
    x = 1,007,981,864,289/508,369.50
  6. Step 6: Final answer
    x = 1,982,774.07

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.