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Finding the Third Proportional to 264,676 and 576,004

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Solution

The third proportional to 264,676 and 576,004 is: 1,253,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,676 : 576,004 = 576,004 : x
  2. Step 2: Convert to fraction form
    264,676/576,004 = 576,004/x
  3. Step 3: Cross multiply
    264,676x = 576,004 × 576,004
  4. Step 4: Simplify right side
    264,676x = 331,780,608,016
  5. Step 5: Solve for x
    x = 331,780,608,016/264,676
  6. Step 6: Final answer
    x = 1,253,534.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.