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Finding the Third Proportional to 546,945.75 and 827,965.13

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Solution

The third proportional to 546,945.75 and 827,965.13 is: 1,253,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,945.75 : 827,965.13 = 827,965.13 : x
  2. Step 2: Convert to fraction form
    546,945.75/827,965.13 = 827,965.13/x
  3. Step 3: Cross multiply
    546,945.75x = 827,965.13 × 827,965.13
  4. Step 4: Simplify right side
    546,945.75x = 685,526,248,216.27
  5. Step 5: Solve for x
    x = 685,526,248,216.27/546,945.75
  6. Step 6: Final answer
    x = 1,253,371.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.