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Finding the Third Proportional to 251,814 and 540,899.25

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Solution

The third proportional to 251,814 and 540,899.25 is: 1,161,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,814 : 540,899.25 = 540,899.25 : x
  2. Step 2: Convert to fraction form
    251,814/540,899.25 = 540,899.25/x
  3. Step 3: Cross multiply
    251,814x = 540,899.25 × 540,899.25
  4. Step 4: Simplify right side
    251,814x = 292,571,998,650.56
  5. Step 5: Solve for x
    x = 292,571,998,650.56/251,814
  6. Step 6: Final answer
    x = 1,161,857.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.