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Finding the Third Proportional to 253,504 and 546,744

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Solution

The third proportional to 253,504 and 546,744 is: 1,179,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,504 : 546,744 = 546,744 : x
  2. Step 2: Convert to fraction form
    253,504/546,744 = 546,744/x
  3. Step 3: Cross multiply
    253,504x = 546,744 × 546,744
  4. Step 4: Simplify right side
    253,504x = 298,929,001,536
  5. Step 5: Solve for x
    x = 298,929,001,536/253,504
  6. Step 6: Final answer
    x = 1,179,188.50

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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.