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Finding the Third Proportional to 386,383.50 and 568,395

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Solution

The third proportional to 386,383.50 and 568,395 is: 836,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,383.50 : 568,395 = 568,395 : x
  2. Step 2: Convert to fraction form
    386,383.50/568,395 = 568,395/x
  3. Step 3: Cross multiply
    386,383.50x = 568,395 × 568,395
  4. Step 4: Simplify right side
    386,383.50x = 323,072,876,025
  5. Step 5: Solve for x
    x = 323,072,876,025/386,383.50
  6. Step 6: Final answer
    x = 836,145.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.