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Finding the Third Proportional to 260,908 and 566,430

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Solution

The third proportional to 260,908 and 566,430 is: 1,229,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,908 : 566,430 = 566,430 : x
  2. Step 2: Convert to fraction form
    260,908/566,430 = 566,430/x
  3. Step 3: Cross multiply
    260,908x = 566,430 × 566,430
  4. Step 4: Simplify right side
    260,908x = 320,842,944,900
  5. Step 5: Solve for x
    x = 320,842,944,900/260,908
  6. Step 6: Final answer
    x = 1,229,716.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.