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Finding the Third Proportional to 232,240 and 503,126

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Solution

The third proportional to 232,240 and 503,126 is: 1,089,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,240 : 503,126 = 503,126 : x
  2. Step 2: Convert to fraction form
    232,240/503,126 = 503,126/x
  3. Step 3: Cross multiply
    232,240x = 503,126 × 503,126
  4. Step 4: Simplify right side
    232,240x = 253,135,771,876
  5. Step 5: Solve for x
    x = 253,135,771,876/232,240
  6. Step 6: Final answer
    x = 1,089,974.90

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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.