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Finding the Third Proportional to 382,254 and 534,645

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Solution

The third proportional to 382,254 and 534,645 is: 747,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,254 : 534,645 = 534,645 : x
  2. Step 2: Convert to fraction form
    382,254/534,645 = 534,645/x
  3. Step 3: Cross multiply
    382,254x = 534,645 × 534,645
  4. Step 4: Simplify right side
    382,254x = 285,845,276,025
  5. Step 5: Solve for x
    x = 285,845,276,025/382,254
  6. Step 6: Final answer
    x = 747,788.84

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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.