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Finding the Third Proportional to 258,689 and 386,441

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Solution

The third proportional to 258,689 and 386,441 is: 577,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,689 : 386,441 = 386,441 : x
  2. Step 2: Convert to fraction form
    258,689/386,441 = 386,441/x
  3. Step 3: Cross multiply
    258,689x = 386,441 × 386,441
  4. Step 4: Simplify right side
    258,689x = 149,336,646,481
  5. Step 5: Solve for x
    x = 149,336,646,481/258,689
  6. Step 6: Final answer
    x = 577,282.55

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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.