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Finding the Third Proportional to 400,021.88 and 874,766.25

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Solution

The third proportional to 400,021.88 and 874,766.25 is: 1,912,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,021.88 : 874,766.25 = 874,766.25 : x
  2. Step 2: Convert to fraction form
    400,021.88/874,766.25 = 874,766.25/x
  3. Step 3: Cross multiply
    400,021.88x = 874,766.25 × 874,766.25
  4. Step 4: Simplify right side
    400,021.88x = 765,215,992,139.06
  5. Step 5: Solve for x
    x = 765,215,992,139.06/400,021.88
  6. Step 6: Final answer
    x = 1,912,935.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.