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Finding the Third Proportional to 404,185.50 and 561,981.38

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Solution

The third proportional to 404,185.50 and 561,981.38 is: 781,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,185.50 : 561,981.38 = 561,981.38 : x
  2. Step 2: Convert to fraction form
    404,185.50/561,981.38 = 561,981.38/x
  3. Step 3: Cross multiply
    404,185.50x = 561,981.38 × 561,981.38
  4. Step 4: Simplify right side
    404,185.50x = 315,823,065,846.89
  5. Step 5: Solve for x
    x = 315,823,065,846.89/404,185.50
  6. Step 6: Final answer
    x = 781,381.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.