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Finding the Third Proportional to 546,944.25 and 827,961

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Solution

The third proportional to 546,944.25 and 827,961 is: 1,253,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,944.25 : 827,961 = 827,961 : x
  2. Step 2: Convert to fraction form
    546,944.25/827,961 = 827,961/x
  3. Step 3: Cross multiply
    546,944.25x = 827,961 × 827,961
  4. Step 4: Simplify right side
    546,944.25x = 685,519,417,521
  5. Step 5: Solve for x
    x = 685,519,417,521/546,944.25
  6. Step 6: Final answer
    x = 1,253,362.51

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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.