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Finding the Third Proportional to 404,382.38 and 880,115.63

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Solution

The third proportional to 404,382.38 and 880,115.63 is: 1,915,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,382.38 : 880,115.63 = 880,115.63 : x
  2. Step 2: Convert to fraction form
    404,382.38/880,115.63 = 880,115.63/x
  3. Step 3: Cross multiply
    404,382.38x = 880,115.63 × 880,115.63
  4. Step 4: Simplify right side
    404,382.38x = 774,603,513,369.14
  5. Step 5: Solve for x
    x = 774,603,513,369.14/404,382.38
  6. Step 6: Final answer
    x = 1,915,522.44

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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.