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Finding the Third Proportional to 382,252 and 534,642

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Solution

The third proportional to 382,252 and 534,642 is: 747,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,252 : 534,642 = 534,642 : x
  2. Step 2: Convert to fraction form
    382,252/534,642 = 534,642/x
  3. Step 3: Cross multiply
    382,252x = 534,642 × 534,642
  4. Step 4: Simplify right side
    382,252x = 285,842,068,164
  5. Step 5: Solve for x
    x = 285,842,068,164/382,252
  6. Step 6: Final answer
    x = 747,784.36

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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.