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Finding the Third Proportional to 260,504 and 567,664

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Solution

The third proportional to 260,504 and 567,664 is: 1,236,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,504 : 567,664 = 567,664 : x
  2. Step 2: Convert to fraction form
    260,504/567,664 = 567,664/x
  3. Step 3: Cross multiply
    260,504x = 567,664 × 567,664
  4. Step 4: Simplify right side
    260,504x = 322,242,416,896
  5. Step 5: Solve for x
    x = 322,242,416,896/260,504
  6. Step 6: Final answer
    x = 1,236,996.04

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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.