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Finding the Third Proportional to 344,876 and 517,788

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Solution

The third proportional to 344,876 and 517,788 is: 777,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,876 : 517,788 = 517,788 : x
  2. Step 2: Convert to fraction form
    344,876/517,788 = 517,788/x
  3. Step 3: Cross multiply
    344,876x = 517,788 × 517,788
  4. Step 4: Simplify right side
    344,876x = 268,104,412,944
  5. Step 5: Solve for x
    x = 268,104,412,944/344,876
  6. Step 6: Final answer
    x = 777,393.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.