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Finding the Third Proportional to 264,704 and 566,344

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Solution

The third proportional to 264,704 and 566,344 is: 1,211,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,704 : 566,344 = 566,344 : x
  2. Step 2: Convert to fraction form
    264,704/566,344 = 566,344/x
  3. Step 3: Cross multiply
    264,704x = 566,344 × 566,344
  4. Step 4: Simplify right side
    264,704x = 320,745,526,336
  5. Step 5: Solve for x
    x = 320,745,526,336/264,704
  6. Step 6: Final answer
    x = 1,211,713.94

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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.