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Finding the Third Proportional to 349,434 and 523,611

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Solution

The third proportional to 349,434 and 523,611 is: 784,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,434 : 523,611 = 523,611 : x
  2. Step 2: Convert to fraction form
    349,434/523,611 = 523,611/x
  3. Step 3: Cross multiply
    349,434x = 523,611 × 523,611
  4. Step 4: Simplify right side
    349,434x = 274,168,479,321
  5. Step 5: Solve for x
    x = 274,168,479,321/349,434
  6. Step 6: Final answer
    x = 784,607.33

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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.