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Finding the Third Proportional to 339,024 and 498,024

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Solution

The third proportional to 339,024 and 498,024 is: 731,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,024 : 498,024 = 498,024 : x
  2. Step 2: Convert to fraction form
    339,024/498,024 = 498,024/x
  3. Step 3: Cross multiply
    339,024x = 498,024 × 498,024
  4. Step 4: Simplify right side
    339,024x = 248,027,904,576
  5. Step 5: Solve for x
    x = 248,027,904,576/339,024
  6. Step 6: Final answer
    x = 731,593.94

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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.