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Finding the Third Proportional to 356,249 and 550,911

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Solution

The third proportional to 356,249 and 550,911 is: 851,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,249 : 550,911 = 550,911 : x
  2. Step 2: Convert to fraction form
    356,249/550,911 = 550,911/x
  3. Step 3: Cross multiply
    356,249x = 550,911 × 550,911
  4. Step 4: Simplify right side
    356,249x = 303,502,929,921
  5. Step 5: Solve for x
    x = 303,502,929,921/356,249
  6. Step 6: Final answer
    x = 851,940.44

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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.