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Finding the Third Proportional to 225,501 and 485,886

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Solution

The third proportional to 225,501 and 485,886 is: 1,046,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,501 : 485,886 = 485,886 : x
  2. Step 2: Convert to fraction form
    225,501/485,886 = 485,886/x
  3. Step 3: Cross multiply
    225,501x = 485,886 × 485,886
  4. Step 4: Simplify right side
    225,501x = 236,085,204,996
  5. Step 5: Solve for x
    x = 236,085,204,996/225,501
  6. Step 6: Final answer
    x = 1,046,936.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.