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Finding the Third Proportional to 321,410.25 and 669,420

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Solution

The third proportional to 321,410.25 and 669,420 is: 1,394,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,410.25 : 669,420 = 669,420 : x
  2. Step 2: Convert to fraction form
    321,410.25/669,420 = 669,420/x
  3. Step 3: Cross multiply
    321,410.25x = 669,420 × 669,420
  4. Step 4: Simplify right side
    321,410.25x = 448,123,136,400
  5. Step 5: Solve for x
    x = 448,123,136,400/321,410.25
  6. Step 6: Final answer
    x = 1,394,240.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.