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Finding the Third Proportional to 331,702 and 497,032

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Solution

The third proportional to 331,702 and 497,032 is: 744,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,702 : 497,032 = 497,032 : x
  2. Step 2: Convert to fraction form
    331,702/497,032 = 497,032/x
  3. Step 3: Cross multiply
    331,702x = 497,032 × 497,032
  4. Step 4: Simplify right side
    331,702x = 247,040,809,024
  5. Step 5: Solve for x
    x = 247,040,809,024/331,702
  6. Step 6: Final answer
    x = 744,767.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.