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Finding the Third Proportional to 232,575 and 502,325

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Solution

The third proportional to 232,575 and 502,325 is: 1,084,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,575 : 502,325 = 502,325 : x
  2. Step 2: Convert to fraction form
    232,575/502,325 = 502,325/x
  3. Step 3: Cross multiply
    232,575x = 502,325 × 502,325
  4. Step 4: Simplify right side
    232,575x = 252,330,405,625
  5. Step 5: Solve for x
    x = 252,330,405,625/232,575
  6. Step 6: Final answer
    x = 1,084,942.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.