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Finding the Third Proportional to 251,794.50 and 515,223.75

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Solution

The third proportional to 251,794.50 and 515,223.75 is: 1,054,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,794.50 : 515,223.75 = 515,223.75 : x
  2. Step 2: Convert to fraction form
    251,794.50/515,223.75 = 515,223.75/x
  3. Step 3: Cross multiply
    251,794.50x = 515,223.75 × 515,223.75
  4. Step 4: Simplify right side
    251,794.50x = 265,455,512,564.06
  5. Step 5: Solve for x
    x = 265,455,512,564.06/251,794.50
  6. Step 6: Final answer
    x = 1,054,254.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.