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Finding the Third Proportional to 341,831 and 745,167

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Solution

The third proportional to 341,831 and 745,167 is: 1,624,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,831 : 745,167 = 745,167 : x
  2. Step 2: Convert to fraction form
    341,831/745,167 = 745,167/x
  3. Step 3: Cross multiply
    341,831x = 745,167 × 745,167
  4. Step 4: Simplify right side
    341,831x = 555,273,857,889
  5. Step 5: Solve for x
    x = 555,273,857,889/341,831
  6. Step 6: Final answer
    x = 1,624,410.48

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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.