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Finding the Third Proportional to 349,488 and 523,692

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Solution

The third proportional to 349,488 and 523,692 is: 784,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,488 : 523,692 = 523,692 : x
  2. Step 2: Convert to fraction form
    349,488/523,692 = 523,692/x
  3. Step 3: Cross multiply
    349,488x = 523,692 × 523,692
  4. Step 4: Simplify right side
    349,488x = 274,253,310,864
  5. Step 5: Solve for x
    x = 274,253,310,864/349,488
  6. Step 6: Final answer
    x = 784,728.83

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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.