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Finding the Third Proportional to 259,818 and 566,656

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Solution

The third proportional to 259,818 and 566,656 is: 1,235,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,818 : 566,656 = 566,656 : x
  2. Step 2: Convert to fraction form
    259,818/566,656 = 566,656/x
  3. Step 3: Cross multiply
    259,818x = 566,656 × 566,656
  4. Step 4: Simplify right side
    259,818x = 321,099,022,336
  5. Step 5: Solve for x
    x = 321,099,022,336/259,818
  6. Step 6: Final answer
    x = 1,235,861.34

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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.