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Finding the Third Proportional to 264,800 and 567,504

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Solution

The third proportional to 264,800 and 567,504 is: 1,216,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,800 : 567,504 = 567,504 : x
  2. Step 2: Convert to fraction form
    264,800/567,504 = 567,504/x
  3. Step 3: Cross multiply
    264,800x = 567,504 × 567,504
  4. Step 4: Simplify right side
    264,800x = 322,060,790,016
  5. Step 5: Solve for x
    x = 322,060,790,016/264,800
  6. Step 6: Final answer
    x = 1,216,241.65

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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.