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Finding the Third Proportional to 321,341 and 498,167

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Solution

The third proportional to 321,341 and 498,167 is: 772,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,341 : 498,167 = 498,167 : x
  2. Step 2: Convert to fraction form
    321,341/498,167 = 498,167/x
  3. Step 3: Cross multiply
    321,341x = 498,167 × 498,167
  4. Step 4: Simplify right side
    321,341x = 248,170,359,889
  5. Step 5: Solve for x
    x = 248,170,359,889/321,341
  6. Step 6: Final answer
    x = 772,295.97

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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.