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Finding the Third Proportional to 267,764 and 557,702

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Solution

The third proportional to 267,764 and 557,702 is: 1,161,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,764 : 557,702 = 557,702 : x
  2. Step 2: Convert to fraction form
    267,764/557,702 = 557,702/x
  3. Step 3: Cross multiply
    267,764x = 557,702 × 557,702
  4. Step 4: Simplify right side
    267,764x = 311,031,520,804
  5. Step 5: Solve for x
    x = 311,031,520,804/267,764
  6. Step 6: Final answer
    x = 1,161,588.27

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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.