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Finding the Third Proportional to 401,883.75 and 866,868.19

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Solution

The third proportional to 401,883.75 and 866,868.19 is: 1,869,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,883.75 : 866,868.19 = 866,868.19 : x
  2. Step 2: Convert to fraction form
    401,883.75/866,868.19 = 866,868.19/x
  3. Step 3: Cross multiply
    401,883.75x = 866,868.19 × 866,868.19
  4. Step 4: Simplify right side
    401,883.75x = 751,460,454,499.54
  5. Step 5: Solve for x
    x = 751,460,454,499.54/401,883.75
  6. Step 6: Final answer
    x = 1,869,845.33

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Why These Related Problems?

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