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Finding the Third Proportional to 386,294 and 568,272.75

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Solution

The third proportional to 386,294 and 568,272.75 is: 835,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,294 : 568,272.75 = 568,272.75 : x
  2. Step 2: Convert to fraction form
    386,294/568,272.75 = 568,272.75/x
  3. Step 3: Cross multiply
    386,294x = 568,272.75 × 568,272.75
  4. Step 4: Simplify right side
    386,294x = 322,933,918,392.56
  5. Step 5: Solve for x
    x = 322,933,918,392.56/386,294
  6. Step 6: Final answer
    x = 835,979.64

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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.