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Finding the Third Proportional to 260,131 and 567,532

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Solution

The third proportional to 260,131 and 567,532 is: 1,238,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,131 : 567,532 = 567,532 : x
  2. Step 2: Convert to fraction form
    260,131/567,532 = 567,532/x
  3. Step 3: Cross multiply
    260,131x = 567,532 × 567,532
  4. Step 4: Simplify right side
    260,131x = 322,092,571,024
  5. Step 5: Solve for x
    x = 322,092,571,024/260,131
  6. Step 6: Final answer
    x = 1,238,193.72

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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.