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Finding the Third Proportional to 246,227 and 529,237

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Solution

The third proportional to 246,227 and 529,237 is: 1,137,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,227 : 529,237 = 529,237 : x
  2. Step 2: Convert to fraction form
    246,227/529,237 = 529,237/x
  3. Step 3: Cross multiply
    246,227x = 529,237 × 529,237
  4. Step 4: Simplify right side
    246,227x = 280,091,802,169
  5. Step 5: Solve for x
    x = 280,091,802,169/246,227
  6. Step 6: Final answer
    x = 1,137,534.89

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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.