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Finding the Third Proportional to 259,816 and 566,652

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Solution

The third proportional to 259,816 and 566,652 is: 1,235,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,816 : 566,652 = 566,652 : x
  2. Step 2: Convert to fraction form
    259,816/566,652 = 566,652/x
  3. Step 3: Cross multiply
    259,816x = 566,652 × 566,652
  4. Step 4: Simplify right side
    259,816x = 321,094,489,104
  5. Step 5: Solve for x
    x = 321,094,489,104/259,816
  6. Step 6: Final answer
    x = 1,235,853.41

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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.