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Finding the Third Proportional to 404,203 and 880,167

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Solution

The third proportional to 404,203 and 880,167 is: 1,916,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,203 : 880,167 = 880,167 : x
  2. Step 2: Convert to fraction form
    404,203/880,167 = 880,167/x
  3. Step 3: Cross multiply
    404,203x = 880,167 × 880,167
  4. Step 4: Simplify right side
    404,203x = 774,693,947,889
  5. Step 5: Solve for x
    x = 774,693,947,889/404,203
  6. Step 6: Final answer
    x = 1,916,596.23

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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.