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Finding the Third Proportional to 307,682 and 467,299

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Solution

The third proportional to 307,682 and 467,299 is: 709,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,682 : 467,299 = 467,299 : x
  2. Step 2: Convert to fraction form
    307,682/467,299 = 467,299/x
  3. Step 3: Cross multiply
    307,682x = 467,299 × 467,299
  4. Step 4: Simplify right side
    307,682x = 218,368,355,401
  5. Step 5: Solve for x
    x = 218,368,355,401/307,682
  6. Step 6: Final answer
    x = 709,720.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.