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Finding the Third Proportional to 340,231 and 741,697

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Solution

The third proportional to 340,231 and 741,697 is: 1,616,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,231 : 741,697 = 741,697 : x
  2. Step 2: Convert to fraction form
    340,231/741,697 = 741,697/x
  3. Step 3: Cross multiply
    340,231x = 741,697 × 741,697
  4. Step 4: Simplify right side
    340,231x = 550,114,439,809
  5. Step 5: Solve for x
    x = 550,114,439,809/340,231
  6. Step 6: Final answer
    x = 1,616,885.12

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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.