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Finding the Third Proportional to 344,341 and 745,874

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Solution

The third proportional to 344,341 and 745,874 is: 1,615,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,341 : 745,874 = 745,874 : x
  2. Step 2: Convert to fraction form
    344,341/745,874 = 745,874/x
  3. Step 3: Cross multiply
    344,341x = 745,874 × 745,874
  4. Step 4: Simplify right side
    344,341x = 556,328,023,876
  5. Step 5: Solve for x
    x = 556,328,023,876/344,341
  6. Step 6: Final answer
    x = 1,615,631.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.