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Finding the Third Proportional to 380,163 and 588,581

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Solution

The third proportional to 380,163 and 588,581 is: 911,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,163 : 588,581 = 588,581 : x
  2. Step 2: Convert to fraction form
    380,163/588,581 = 588,581/x
  3. Step 3: Cross multiply
    380,163x = 588,581 × 588,581
  4. Step 4: Simplify right side
    380,163x = 346,427,593,561
  5. Step 5: Solve for x
    x = 346,427,593,561/380,163
  6. Step 6: Final answer
    x = 911,260.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.