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Finding the Third Proportional to 320,467 and 498,197

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Solution

The third proportional to 320,467 and 498,197 is: 774,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,467 : 498,197 = 498,197 : x
  2. Step 2: Convert to fraction form
    320,467/498,197 = 498,197/x
  3. Step 3: Cross multiply
    320,467x = 498,197 × 498,197
  4. Step 4: Simplify right side
    320,467x = 248,200,250,809
  5. Step 5: Solve for x
    x = 248,200,250,809/320,467
  6. Step 6: Final answer
    x = 774,495.50

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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.