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Finding the Third Proportional to 339,036 and 498,042

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Solution

The third proportional to 339,036 and 498,042 is: 731,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,036 : 498,042 = 498,042 : x
  2. Step 2: Convert to fraction form
    339,036/498,042 = 498,042/x
  3. Step 3: Cross multiply
    339,036x = 498,042 × 498,042
  4. Step 4: Simplify right side
    339,036x = 248,045,833,764
  5. Step 5: Solve for x
    x = 248,045,833,764/339,036
  6. Step 6: Final answer
    x = 731,620.93

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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.