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Finding the Third Proportional to 382,268 and 534,666

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Solution

The third proportional to 382,268 and 534,666 is: 747,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,268 : 534,666 = 534,666 : x
  2. Step 2: Convert to fraction form
    382,268/534,666 = 534,666/x
  3. Step 3: Cross multiply
    382,268x = 534,666 × 534,666
  4. Step 4: Simplify right side
    382,268x = 285,867,731,556
  5. Step 5: Solve for x
    x = 285,867,731,556/382,268
  6. Step 6: Final answer
    x = 747,820.20

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