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Finding the Third Proportional to 349,456 and 523,636

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Solution

The third proportional to 349,456 and 523,636 is: 784,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456 : 523,636 = 523,636 : x
  2. Step 2: Convert to fraction form
    349,456/523,636 = 523,636/x
  3. Step 3: Cross multiply
    349,456x = 523,636 × 523,636
  4. Step 4: Simplify right side
    349,456x = 274,194,660,496
  5. Step 5: Solve for x
    x = 274,194,660,496/349,456
  6. Step 6: Final answer
    x = 784,632.86

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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.