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Finding the Third Proportional to 251,792.25 and 543,798.75

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Solution

The third proportional to 251,792.25 and 543,798.75 is: 1,174,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,792.25 : 543,798.75 = 543,798.75 : x
  2. Step 2: Convert to fraction form
    251,792.25/543,798.75 = 543,798.75/x
  3. Step 3: Cross multiply
    251,792.25x = 543,798.75 × 543,798.75
  4. Step 4: Simplify right side
    251,792.25x = 295,717,080,501.56
  5. Step 5: Solve for x
    x = 295,717,080,501.56/251,792.25
  6. Step 6: Final answer
    x = 1,174,448.70

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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.