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Finding the Third Proportional to 349,446 and 523,620

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Solution

The third proportional to 349,446 and 523,620 is: 784,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,446 : 523,620 = 523,620 : x
  2. Step 2: Convert to fraction form
    349,446/523,620 = 523,620/x
  3. Step 3: Cross multiply
    349,446x = 523,620 × 523,620
  4. Step 4: Simplify right side
    349,446x = 274,177,904,400
  5. Step 5: Solve for x
    x = 274,177,904,400/349,446
  6. Step 6: Final answer
    x = 784,607.36

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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.