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Finding the Third Proportional to 379,799 and 587,894

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Solution

The third proportional to 379,799 and 587,894 is: 910,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,799 : 587,894 = 587,894 : x
  2. Step 2: Convert to fraction form
    379,799/587,894 = 587,894/x
  3. Step 3: Cross multiply
    379,799x = 587,894 × 587,894
  4. Step 4: Simplify right side
    379,799x = 345,619,355,236
  5. Step 5: Solve for x
    x = 345,619,355,236/379,799
  6. Step 6: Final answer
    x = 910,005.96

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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.