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Finding the Third Proportional to 307,500 and 667,488

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Solution

The third proportional to 307,500 and 667,488 is: 1,448,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,500 : 667,488 = 667,488 : x
  2. Step 2: Convert to fraction form
    307,500/667,488 = 667,488/x
  3. Step 3: Cross multiply
    307,500x = 667,488 × 667,488
  4. Step 4: Simplify right side
    307,500x = 445,540,230,144
  5. Step 5: Solve for x
    x = 445,540,230,144/307,500
  6. Step 6: Final answer
    x = 1,448,911.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.