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Finding the Third Proportional to 331,116 and 715,162

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Solution

The third proportional to 331,116 and 715,162 is: 1,544,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,116 : 715,162 = 715,162 : x
  2. Step 2: Convert to fraction form
    331,116/715,162 = 715,162/x
  3. Step 3: Cross multiply
    331,116x = 715,162 × 715,162
  4. Step 4: Simplify right side
    331,116x = 511,456,686,244
  5. Step 5: Solve for x
    x = 511,456,686,244/331,116
  6. Step 6: Final answer
    x = 1,544,645.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.