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Finding the Third Proportional to 349,544 and 523,068

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Solution

The third proportional to 349,544 and 523,068 is: 782,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,544 : 523,068 = 523,068 : x
  2. Step 2: Convert to fraction form
    349,544/523,068 = 523,068/x
  3. Step 3: Cross multiply
    349,544x = 523,068 × 523,068
  4. Step 4: Simplify right side
    349,544x = 273,600,132,624
  5. Step 5: Solve for x
    x = 273,600,132,624/349,544
  6. Step 6: Final answer
    x = 782,734.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.