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Finding the Third Proportional to 332,311 and 498,343

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Solution

The third proportional to 332,311 and 498,343 is: 747,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,311 : 498,343 = 498,343 : x
  2. Step 2: Convert to fraction form
    332,311/498,343 = 498,343/x
  3. Step 3: Cross multiply
    332,311x = 498,343 × 498,343
  4. Step 4: Simplify right side
    332,311x = 248,345,745,649
  5. Step 5: Solve for x
    x = 248,345,745,649/332,311
  6. Step 6: Final answer
    x = 747,329.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.