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Finding the Third Proportional to 427,227.75 and 1,008,515.25

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Solution

The third proportional to 427,227.75 and 1,008,515.25 is: 2,380,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,227.75 : 1,008,515.25 = 1,008,515.25 : x
  2. Step 2: Convert to fraction form
    427,227.75/1,008,515.25 = 1,008,515.25/x
  3. Step 3: Cross multiply
    427,227.75x = 1,008,515.25 × 1,008,515.25
  4. Step 4: Simplify right side
    427,227.75x = 1,017,103,009,482.56
  5. Step 5: Solve for x
    x = 1,017,103,009,482.56/427,227.75
  6. Step 6: Final answer
    x = 2,380,704.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.