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Finding the Third Proportional to 386,295 and 568,274.25

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Solution

The third proportional to 386,295 and 568,274.25 is: 835,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,295 : 568,274.25 = 568,274.25 : x
  2. Step 2: Convert to fraction form
    386,295/568,274.25 = 568,274.25/x
  3. Step 3: Cross multiply
    386,295x = 568,274.25 × 568,274.25
  4. Step 4: Simplify right side
    386,295x = 322,935,623,213.06
  5. Step 5: Solve for x
    x = 322,935,623,213.06/386,295
  6. Step 6: Final answer
    x = 835,981.89

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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.