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Finding the Third Proportional to 401,711 and 550,834

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Solution

The third proportional to 401,711 and 550,834 is: 755,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,711 : 550,834 = 550,834 : x
  2. Step 2: Convert to fraction form
    401,711/550,834 = 550,834/x
  3. Step 3: Cross multiply
    401,711x = 550,834 × 550,834
  4. Step 4: Simplify right side
    401,711x = 303,418,095,556
  5. Step 5: Solve for x
    x = 303,418,095,556/401,711
  6. Step 6: Final answer
    x = 755,314.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.