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Finding the Third Proportional to 225,346 and 487,876

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Solution

The third proportional to 225,346 and 487,876 is: 1,056,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,346 : 487,876 = 487,876 : x
  2. Step 2: Convert to fraction form
    225,346/487,876 = 487,876/x
  3. Step 3: Cross multiply
    225,346x = 487,876 × 487,876
  4. Step 4: Simplify right side
    225,346x = 238,022,991,376
  5. Step 5: Solve for x
    x = 238,022,991,376/225,346
  6. Step 6: Final answer
    x = 1,056,255.68

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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.