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Finding the Third Proportional to 246,491.50 and 504,663.50

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Solution

The third proportional to 246,491.50 and 504,663.50 is: 1,033,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,491.50 : 504,663.50 = 504,663.50 : x
  2. Step 2: Convert to fraction form
    246,491.50/504,663.50 = 504,663.50/x
  3. Step 3: Cross multiply
    246,491.50x = 504,663.50 × 504,663.50
  4. Step 4: Simplify right side
    246,491.50x = 254,685,248,232.25
  5. Step 5: Solve for x
    x = 254,685,248,232.25/246,491.50
  6. Step 6: Final answer
    x = 1,033,241.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.