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Finding the Third Proportional to 444,259 and 866,374

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Solution

The third proportional to 444,259 and 866,374 is: 1,689,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,259 : 866,374 = 866,374 : x
  2. Step 2: Convert to fraction form
    444,259/866,374 = 866,374/x
  3. Step 3: Cross multiply
    444,259x = 866,374 × 866,374
  4. Step 4: Simplify right side
    444,259x = 750,603,907,876
  5. Step 5: Solve for x
    x = 750,603,907,876/444,259
  6. Step 6: Final answer
    x = 1,689,563.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.