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Finding the Third Proportional to 260,170 and 567,488

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Solution

The third proportional to 260,170 and 567,488 is: 1,237,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,170 : 567,488 = 567,488 : x
  2. Step 2: Convert to fraction form
    260,170/567,488 = 567,488/x
  3. Step 3: Cross multiply
    260,170x = 567,488 × 567,488
  4. Step 4: Simplify right side
    260,170x = 322,042,630,144
  5. Step 5: Solve for x
    x = 322,042,630,144/260,170
  6. Step 6: Final answer
    x = 1,237,816.16

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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.