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Finding the Third Proportional to 260,075 and 558,949

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Solution

The third proportional to 260,075 and 558,949 is: 1,201,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,075 : 558,949 = 558,949 : x
  2. Step 2: Convert to fraction form
    260,075/558,949 = 558,949/x
  3. Step 3: Cross multiply
    260,075x = 558,949 × 558,949
  4. Step 4: Simplify right side
    260,075x = 312,423,984,601
  5. Step 5: Solve for x
    x = 312,423,984,601/260,075
  6. Step 6: Final answer
    x = 1,201,284.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.