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Finding the Third Proportional to 260,506 and 567,668

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Solution

The third proportional to 260,506 and 567,668 is: 1,237,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,506 : 567,668 = 567,668 : x
  2. Step 2: Convert to fraction form
    260,506/567,668 = 567,668/x
  3. Step 3: Cross multiply
    260,506x = 567,668 × 567,668
  4. Step 4: Simplify right side
    260,506x = 322,246,958,224
  5. Step 5: Solve for x
    x = 322,246,958,224/260,506
  6. Step 6: Final answer
    x = 1,237,003.98

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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.