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Finding the Third Proportional to 332,344 and 498,420

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Solution

The third proportional to 332,344 and 498,420 is: 747,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,344 : 498,420 = 498,420 : x
  2. Step 2: Convert to fraction form
    332,344/498,420 = 498,420/x
  3. Step 3: Cross multiply
    332,344x = 498,420 × 498,420
  4. Step 4: Simplify right side
    332,344x = 248,422,496,400
  5. Step 5: Solve for x
    x = 248,422,496,400/332,344
  6. Step 6: Final answer
    x = 747,486.03

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