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Finding the Third Proportional to 356,124 and 550,685

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Solution

The third proportional to 356,124 and 550,685 is: 851,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,124 : 550,685 = 550,685 : x
  2. Step 2: Convert to fraction form
    356,124/550,685 = 550,685/x
  3. Step 3: Cross multiply
    356,124x = 550,685 × 550,685
  4. Step 4: Simplify right side
    356,124x = 303,253,969,225
  5. Step 5: Solve for x
    x = 303,253,969,225/356,124
  6. Step 6: Final answer
    x = 851,540.39

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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.