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Finding the Third Proportional to 267,634 and 577,045

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Solution

The third proportional to 267,634 and 577,045 is: 1,244,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,634 : 577,045 = 577,045 : x
  2. Step 2: Convert to fraction form
    267,634/577,045 = 577,045/x
  3. Step 3: Cross multiply
    267,634x = 577,045 × 577,045
  4. Step 4: Simplify right side
    267,634x = 332,980,932,025
  5. Step 5: Solve for x
    x = 332,980,932,025/267,634
  6. Step 6: Final answer
    x = 1,244,165.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.