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Finding the Third Proportional to 246,314 and 533,110

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Solution

The third proportional to 246,314 and 533,110 is: 1,153,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,314 : 533,110 = 533,110 : x
  2. Step 2: Convert to fraction form
    246,314/533,110 = 533,110/x
  3. Step 3: Cross multiply
    246,314x = 533,110 × 533,110
  4. Step 4: Simplify right side
    246,314x = 284,206,272,100
  5. Step 5: Solve for x
    x = 284,206,272,100/246,314
  6. Step 6: Final answer
    x = 1,153,837.27

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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.