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Finding the Third Proportional to 339,084 and 498,234

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Solution

The third proportional to 339,084 and 498,234 is: 732,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,084 : 498,234 = 498,234 : x
  2. Step 2: Convert to fraction form
    339,084/498,234 = 498,234/x
  3. Step 3: Cross multiply
    339,084x = 498,234 × 498,234
  4. Step 4: Simplify right side
    339,084x = 248,237,118,756
  5. Step 5: Solve for x
    x = 248,237,118,756/339,084
  6. Step 6: Final answer
    x = 732,081.49

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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.