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Finding the Third Proportional to 232,621 and 503,886

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Solution

The third proportional to 232,621 and 503,886 is: 1,091,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,621 : 503,886 = 503,886 : x
  2. Step 2: Convert to fraction form
    232,621/503,886 = 503,886/x
  3. Step 3: Cross multiply
    232,621x = 503,886 × 503,886
  4. Step 4: Simplify right side
    232,621x = 253,901,100,996
  5. Step 5: Solve for x
    x = 253,901,100,996/232,621
  6. Step 6: Final answer
    x = 1,091,479.71

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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.