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Finding the Third Proportional to 246,468 and 504,591

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Solution

The third proportional to 246,468 and 504,591 is: 1,033,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,468 : 504,591 = 504,591 : x
  2. Step 2: Convert to fraction form
    246,468/504,591 = 504,591/x
  3. Step 3: Cross multiply
    246,468x = 504,591 × 504,591
  4. Step 4: Simplify right side
    246,468x = 254,612,077,281
  5. Step 5: Solve for x
    x = 254,612,077,281/246,468
  6. Step 6: Final answer
    x = 1,033,043.14

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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.