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Finding the Third Proportional to 302,014 and 423,325

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Solution

The third proportional to 302,014 and 423,325 is: 593,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,014 : 423,325 = 423,325 : x
  2. Step 2: Convert to fraction form
    302,014/423,325 = 423,325/x
  3. Step 3: Cross multiply
    302,014x = 423,325 × 423,325
  4. Step 4: Simplify right side
    302,014x = 179,204,055,625
  5. Step 5: Solve for x
    x = 179,204,055,625/302,014
  6. Step 6: Final answer
    x = 593,363.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.