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Finding the Third Proportional to 641,930.06 and 993,429.56

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Solution

The third proportional to 641,930.06 and 993,429.56 is: 1,537,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,930.06 : 993,429.56 = 993,429.56 : x
  2. Step 2: Convert to fraction form
    641,930.06/993,429.56 = 993,429.56/x
  3. Step 3: Cross multiply
    641,930.06x = 993,429.56 × 993,429.56
  4. Step 4: Simplify right side
    641,930.06x = 986,902,295,648.94
  5. Step 5: Solve for x
    x = 986,902,295,648.94/641,930.06
  6. Step 6: Final answer
    x = 1,537,398.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.