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Finding the Third Proportional to 404,145 and 880,251.75

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Solution

The third proportional to 404,145 and 880,251.75 is: 1,917,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,145 : 880,251.75 = 880,251.75 : x
  2. Step 2: Convert to fraction form
    404,145/880,251.75 = 880,251.75/x
  3. Step 3: Cross multiply
    404,145x = 880,251.75 × 880,251.75
  4. Step 4: Simplify right side
    404,145x = 774,843,143,378.06
  5. Step 5: Solve for x
    x = 774,843,143,378.06/404,145
  6. Step 6: Final answer
    x = 1,917,240.45

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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.