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Finding the Third Proportional to 267,528.63 and 557,200.63

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Solution

The third proportional to 267,528.63 and 557,200.63 is: 1,160,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,528.63 : 557,200.63 = 557,200.63 : x
  2. Step 2: Convert to fraction form
    267,528.63/557,200.63 = 557,200.63/x
  3. Step 3: Cross multiply
    267,528.63x = 557,200.63 × 557,200.63
  4. Step 4: Simplify right side
    267,528.63x = 310,472,536,500.39
  5. Step 5: Solve for x
    x = 310,472,536,500.39/267,528.63
  6. Step 6: Final answer
    x = 1,160,520.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.