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Finding the Third Proportional to 404,237.81 and 880,192.13

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Solution

The third proportional to 404,237.81 and 880,192.13 is: 1,916,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,237.81 : 880,192.13 = 880,192.13 : x
  2. Step 2: Convert to fraction form
    404,237.81/880,192.13 = 880,192.13/x
  3. Step 3: Cross multiply
    404,237.81x = 880,192.13 × 880,192.13
  4. Step 4: Simplify right side
    404,237.81x = 774,738,176,912.02
  5. Step 5: Solve for x
    x = 774,738,176,912.02/404,237.81
  6. Step 6: Final answer
    x = 1,916,540.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.