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Finding the Third Proportional to 331,114 and 715,158

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Solution

The third proportional to 331,114 and 715,158 is: 1,544,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,114 : 715,158 = 715,158 : x
  2. Step 2: Convert to fraction form
    331,114/715,158 = 715,158/x
  3. Step 3: Cross multiply
    331,114x = 715,158 × 715,158
  4. Step 4: Simplify right side
    331,114x = 511,450,964,964
  5. Step 5: Solve for x
    x = 511,450,964,964/331,114
  6. Step 6: Final answer
    x = 1,544,637.09

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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.