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Finding the Third Proportional to 339,957 and 500,094

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Solution

The third proportional to 339,957 and 500,094 is: 735,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,957 : 500,094 = 500,094 : x
  2. Step 2: Convert to fraction form
    339,957/500,094 = 500,094/x
  3. Step 3: Cross multiply
    339,957x = 500,094 × 500,094
  4. Step 4: Simplify right side
    339,957x = 250,094,008,836
  5. Step 5: Solve for x
    x = 250,094,008,836/339,957
  6. Step 6: Final answer
    x = 735,663.65

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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.