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Finding the Third Proportional to 444,264 and 866,382

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Solution

The third proportional to 444,264 and 866,382 is: 1,689,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,264 : 866,382 = 866,382 : x
  2. Step 2: Convert to fraction form
    444,264/866,382 = 866,382/x
  3. Step 3: Cross multiply
    444,264x = 866,382 × 866,382
  4. Step 4: Simplify right side
    444,264x = 750,617,769,924
  5. Step 5: Solve for x
    x = 750,617,769,924/444,264
  6. Step 6: Final answer
    x = 1,689,575.95

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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.