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Finding the Third Proportional to 258,696 and 386,451

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Solution

The third proportional to 258,696 and 386,451 is: 577,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,696 : 386,451 = 386,451 : x
  2. Step 2: Convert to fraction form
    258,696/386,451 = 386,451/x
  3. Step 3: Cross multiply
    258,696x = 386,451 × 386,451
  4. Step 4: Simplify right side
    258,696x = 149,344,375,401
  5. Step 5: Solve for x
    x = 149,344,375,401/258,696
  6. Step 6: Final answer
    x = 577,296.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.