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Finding the Third Proportional to 433,616 and 667,320

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Solution

The third proportional to 433,616 and 667,320 is: 1,026,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,616 : 667,320 = 667,320 : x
  2. Step 2: Convert to fraction form
    433,616/667,320 = 667,320/x
  3. Step 3: Cross multiply
    433,616x = 667,320 × 667,320
  4. Step 4: Simplify right side
    433,616x = 445,315,982,400
  5. Step 5: Solve for x
    x = 445,315,982,400/433,616
  6. Step 6: Final answer
    x = 1,026,982.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.