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Finding the Third Proportional to 246,996 and 531,441

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Solution

The third proportional to 246,996 and 531,441 is: 1,143,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,996 : 531,441 = 531,441 : x
  2. Step 2: Convert to fraction form
    246,996/531,441 = 531,441/x
  3. Step 3: Cross multiply
    246,996x = 531,441 × 531,441
  4. Step 4: Simplify right side
    246,996x = 282,429,536,481
  5. Step 5: Solve for x
    x = 282,429,536,481/246,996
  6. Step 6: Final answer
    x = 1,143,457.94

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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.