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Finding the Third Proportional to 404,696.25 and 874,233

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Solution

The third proportional to 404,696.25 and 874,233 is: 1,888,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,696.25 : 874,233 = 874,233 : x
  2. Step 2: Convert to fraction form
    404,696.25/874,233 = 874,233/x
  3. Step 3: Cross multiply
    404,696.25x = 874,233 × 874,233
  4. Step 4: Simplify right side
    404,696.25x = 764,283,338,289
  5. Step 5: Solve for x
    x = 764,283,338,289/404,696.25
  6. Step 6: Final answer
    x = 1,888,535.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.