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Finding the Third Proportional to 257,721.75 and 561,183.19

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Solution

The third proportional to 257,721.75 and 561,183.19 is: 1,221,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,721.75 : 561,183.19 = 561,183.19 : x
  2. Step 2: Convert to fraction form
    257,721.75/561,183.19 = 561,183.19/x
  3. Step 3: Cross multiply
    257,721.75x = 561,183.19 × 561,183.19
  4. Step 4: Simplify right side
    257,721.75x = 314,926,569,932.66
  5. Step 5: Solve for x
    x = 314,926,569,932.66/257,721.75
  6. Step 6: Final answer
    x = 1,221,963.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.