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Finding the Third Proportional to 259,824 and 566,668

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Solution

The third proportional to 259,824 and 566,668 is: 1,235,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,824 : 566,668 = 566,668 : x
  2. Step 2: Convert to fraction form
    259,824/566,668 = 566,668/x
  3. Step 3: Cross multiply
    259,824x = 566,668 × 566,668
  4. Step 4: Simplify right side
    259,824x = 321,112,622,224
  5. Step 5: Solve for x
    x = 321,112,622,224/259,824
  6. Step 6: Final answer
    x = 1,235,885.15

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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.