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Finding the Third Proportional to 251,028.75 and 551,650.50

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Solution

The third proportional to 251,028.75 and 551,650.50 is: 1,212,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,028.75 : 551,650.50 = 551,650.50 : x
  2. Step 2: Convert to fraction form
    251,028.75/551,650.50 = 551,650.50/x
  3. Step 3: Cross multiply
    251,028.75x = 551,650.50 × 551,650.50
  4. Step 4: Simplify right side
    251,028.75x = 304,318,274,150.25
  5. Step 5: Solve for x
    x = 304,318,274,150.25/251,028.75
  6. Step 6: Final answer
    x = 1,212,284.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.