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Finding the Third Proportional to 382,258 and 534,651

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Solution

The third proportional to 382,258 and 534,651 is: 747,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,258 : 534,651 = 534,651 : x
  2. Step 2: Convert to fraction form
    382,258/534,651 = 534,651/x
  3. Step 3: Cross multiply
    382,258x = 534,651 × 534,651
  4. Step 4: Simplify right side
    382,258x = 285,851,691,801
  5. Step 5: Solve for x
    x = 285,851,691,801/382,258
  6. Step 6: Final answer
    x = 747,797.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.