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Finding the Third Proportional to 343,106 and 756,016

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Solution

The third proportional to 343,106 and 756,016 is: 1,665,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,106 : 756,016 = 756,016 : x
  2. Step 2: Convert to fraction form
    343,106/756,016 = 756,016/x
  3. Step 3: Cross multiply
    343,106x = 756,016 × 756,016
  4. Step 4: Simplify right side
    343,106x = 571,560,192,256
  5. Step 5: Solve for x
    x = 571,560,192,256/343,106
  6. Step 6: Final answer
    x = 1,665,841.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.