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Finding the Third Proportional to 339,972 and 500,062

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Solution

The third proportional to 339,972 and 500,062 is: 735,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,972 : 500,062 = 500,062 : x
  2. Step 2: Convert to fraction form
    339,972/500,062 = 500,062/x
  3. Step 3: Cross multiply
    339,972x = 500,062 × 500,062
  4. Step 4: Simplify right side
    339,972x = 250,062,003,844
  5. Step 5: Solve for x
    x = 250,062,003,844/339,972
  6. Step 6: Final answer
    x = 735,537.06

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