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Finding the Third Proportional to 349,467 and 523,647

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Solution

The third proportional to 349,467 and 523,647 is: 784,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,467 : 523,647 = 523,647 : x
  2. Step 2: Convert to fraction form
    349,467/523,647 = 523,647/x
  3. Step 3: Cross multiply
    349,467x = 523,647 × 523,647
  4. Step 4: Simplify right side
    349,467x = 274,206,180,609
  5. Step 5: Solve for x
    x = 274,206,180,609/349,467
  6. Step 6: Final answer
    x = 784,641.13

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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.