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Finding the Third Proportional to 252,760.50 and 540,027

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Solution

The third proportional to 252,760.50 and 540,027 is: 1,153,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,760.50 : 540,027 = 540,027 : x
  2. Step 2: Convert to fraction form
    252,760.50/540,027 = 540,027/x
  3. Step 3: Cross multiply
    252,760.50x = 540,027 × 540,027
  4. Step 4: Simplify right side
    252,760.50x = 291,629,160,729
  5. Step 5: Solve for x
    x = 291,629,160,729/252,760.50
  6. Step 6: Final answer
    x = 1,153,776.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.