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Finding the Third Proportional to 339,176 and 498,648

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Solution

The third proportional to 339,176 and 498,648 is: 733,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,176 : 498,648 = 498,648 : x
  2. Step 2: Convert to fraction form
    339,176/498,648 = 498,648/x
  3. Step 3: Cross multiply
    339,176x = 498,648 × 498,648
  4. Step 4: Simplify right side
    339,176x = 248,649,827,904
  5. Step 5: Solve for x
    x = 248,649,827,904/339,176
  6. Step 6: Final answer
    x = 733,099.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.