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Finding the Third Proportional to 320,481 and 498,204

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Solution

The third proportional to 320,481 and 498,204 is: 774,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,481 : 498,204 = 498,204 : x
  2. Step 2: Convert to fraction form
    320,481/498,204 = 498,204/x
  3. Step 3: Cross multiply
    320,481x = 498,204 × 498,204
  4. Step 4: Simplify right side
    320,481x = 248,207,225,616
  5. Step 5: Solve for x
    x = 248,207,225,616/320,481
  6. Step 6: Final answer
    x = 774,483.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.