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Finding the Third Proportional to 260,568 and 567,954

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Solution

The third proportional to 260,568 and 567,954 is: 1,237,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,568 : 567,954 = 567,954 : x
  2. Step 2: Convert to fraction form
    260,568/567,954 = 567,954/x
  3. Step 3: Cross multiply
    260,568x = 567,954 × 567,954
  4. Step 4: Simplify right side
    260,568x = 322,571,746,116
  5. Step 5: Solve for x
    x = 322,571,746,116/260,568
  6. Step 6: Final answer
    x = 1,237,956.10

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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.