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Finding the Third Proportional to 340,236 and 741,705

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Solution

The third proportional to 340,236 and 741,705 is: 1,616,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,236 : 741,705 = 741,705 : x
  2. Step 2: Convert to fraction form
    340,236/741,705 = 741,705/x
  3. Step 3: Cross multiply
    340,236x = 741,705 × 741,705
  4. Step 4: Simplify right side
    340,236x = 550,126,307,025
  5. Step 5: Solve for x
    x = 550,126,307,025/340,236
  6. Step 6: Final answer
    x = 1,616,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.