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Finding the Third Proportional to 404,202.75 and 880,166.25

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Solution

The third proportional to 404,202.75 and 880,166.25 is: 1,916,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,202.75 : 880,166.25 = 880,166.25 : x
  2. Step 2: Convert to fraction form
    404,202.75/880,166.25 = 880,166.25/x
  3. Step 3: Cross multiply
    404,202.75x = 880,166.25 × 880,166.25
  4. Step 4: Simplify right side
    404,202.75x = 774,692,627,639.06
  5. Step 5: Solve for x
    x = 774,692,627,639.06/404,202.75
  6. Step 6: Final answer
    x = 1,916,594.15

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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.