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Finding the Third Proportional to 386,293.38 and 568,272

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Solution

The third proportional to 386,293.38 and 568,272 is: 835,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,293.38 : 568,272 = 568,272 : x
  2. Step 2: Convert to fraction form
    386,293.38/568,272 = 568,272/x
  3. Step 3: Cross multiply
    386,293.38x = 568,272 × 568,272
  4. Step 4: Simplify right side
    386,293.38x = 322,933,065,984
  5. Step 5: Solve for x
    x = 322,933,065,984/386,293.38
  6. Step 6: Final answer
    x = 835,978.78

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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.