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Finding the Third Proportional to 339,044 and 498,054

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Solution

The third proportional to 339,044 and 498,054 is: 731,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,044 : 498,054 = 498,054 : x
  2. Step 2: Convert to fraction form
    339,044/498,054 = 498,054/x
  3. Step 3: Cross multiply
    339,044x = 498,054 × 498,054
  4. Step 4: Simplify right side
    339,044x = 248,057,786,916
  5. Step 5: Solve for x
    x = 248,057,786,916/339,044
  6. Step 6: Final answer
    x = 731,638.92

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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.