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Finding the Third Proportional to 260,640 and 566,118

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Solution

The third proportional to 260,640 and 566,118 is: 1,229,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,640 : 566,118 = 566,118 : x
  2. Step 2: Convert to fraction form
    260,640/566,118 = 566,118/x
  3. Step 3: Cross multiply
    260,640x = 566,118 × 566,118
  4. Step 4: Simplify right side
    260,640x = 320,489,589,924
  5. Step 5: Solve for x
    x = 320,489,589,924/260,640
  6. Step 6: Final answer
    x = 1,229,625.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.