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Finding the Third Proportional to 408,938 and 880,366

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Solution

The third proportional to 408,938 and 880,366 is: 1,895,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,938 : 880,366 = 880,366 : x
  2. Step 2: Convert to fraction form
    408,938/880,366 = 880,366/x
  3. Step 3: Cross multiply
    408,938x = 880,366 × 880,366
  4. Step 4: Simplify right side
    408,938x = 775,044,293,956
  5. Step 5: Solve for x
    x = 775,044,293,956/408,938
  6. Step 6: Final answer
    x = 1,895,261.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.