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Finding the Third Proportional to 413,982 and 905,452

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Solution

The third proportional to 413,982 and 905,452 is: 1,980,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,982 : 905,452 = 905,452 : x
  2. Step 2: Convert to fraction form
    413,982/905,452 = 905,452/x
  3. Step 3: Cross multiply
    413,982x = 905,452 × 905,452
  4. Step 4: Simplify right side
    413,982x = 819,843,324,304
  5. Step 5: Solve for x
    x = 819,843,324,304/413,982
  6. Step 6: Final answer
    x = 1,980,383.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.