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Finding the Third Proportional to 260,138 and 567,424

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Solution

The third proportional to 260,138 and 567,424 is: 1,237,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,138 : 567,424 = 567,424 : x
  2. Step 2: Convert to fraction form
    260,138/567,424 = 567,424/x
  3. Step 3: Cross multiply
    260,138x = 567,424 × 567,424
  4. Step 4: Simplify right side
    260,138x = 321,969,995,776
  5. Step 5: Solve for x
    x = 321,969,995,776/260,138
  6. Step 6: Final answer
    x = 1,237,689.21

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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.