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Finding the Third Proportional to 260,508 and 567,670

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Solution

The third proportional to 260,508 and 567,670 is: 1,237,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,508 : 567,670 = 567,670 : x
  2. Step 2: Convert to fraction form
    260,508/567,670 = 567,670/x
  3. Step 3: Cross multiply
    260,508x = 567,670 × 567,670
  4. Step 4: Simplify right side
    260,508x = 322,249,228,900
  5. Step 5: Solve for x
    x = 322,249,228,900/260,508
  6. Step 6: Final answer
    x = 1,237,003.20

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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.