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Finding the Third Proportional to 239,825 and 346,477

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Solution

The third proportional to 239,825 and 346,477 is: 500,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,825 : 346,477 = 346,477 : x
  2. Step 2: Convert to fraction form
    239,825/346,477 = 346,477/x
  3. Step 3: Cross multiply
    239,825x = 346,477 × 346,477
  4. Step 4: Simplify right side
    239,825x = 120,046,311,529
  5. Step 5: Solve for x
    x = 120,046,311,529/239,825
  6. Step 6: Final answer
    x = 500,557.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.