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Finding the Third Proportional to 382,268.25 and 534,666.38

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Solution

The third proportional to 382,268.25 and 534,666.38 is: 747,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,268.25 : 534,666.38 = 534,666.38 : x
  2. Step 2: Convert to fraction form
    382,268.25/534,666.38 = 534,666.38/x
  3. Step 3: Cross multiply
    382,268.25x = 534,666.38 × 534,666.38
  4. Step 4: Simplify right side
    382,268.25x = 285,868,132,555.64
  5. Step 5: Solve for x
    x = 285,868,132,555.64/382,268.25
  6. Step 6: Final answer
    x = 747,820.76

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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.