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Finding the Third Proportional to 253,481.63 and 542,945.25

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Solution

The third proportional to 253,481.63 and 542,945.25 is: 1,162,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,481.63 : 542,945.25 = 542,945.25 : x
  2. Step 2: Convert to fraction form
    253,481.63/542,945.25 = 542,945.25/x
  3. Step 3: Cross multiply
    253,481.63x = 542,945.25 × 542,945.25
  4. Step 4: Simplify right side
    253,481.63x = 294,789,544,497.56
  5. Step 5: Solve for x
    x = 294,789,544,497.56/253,481.63
  6. Step 6: Final answer
    x = 1,162,962.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.