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Finding the Third Proportional to 386,295 and 568,275

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Solution

The third proportional to 386,295 and 568,275 is: 835,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,295 : 568,275 = 568,275 : x
  2. Step 2: Convert to fraction form
    386,295/568,275 = 568,275/x
  3. Step 3: Cross multiply
    386,295x = 568,275 × 568,275
  4. Step 4: Simplify right side
    386,295x = 322,936,475,625
  5. Step 5: Solve for x
    x = 322,936,475,625/386,295
  6. Step 6: Final answer
    x = 835,984.09

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Why These Related Problems?

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