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Finding the Third Proportional to 260,826 and 571,656

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Solution

The third proportional to 260,826 and 571,656 is: 1,252,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,826 : 571,656 = 571,656 : x
  2. Step 2: Convert to fraction form
    260,826/571,656 = 571,656/x
  3. Step 3: Cross multiply
    260,826x = 571,656 × 571,656
  4. Step 4: Simplify right side
    260,826x = 326,790,582,336
  5. Step 5: Solve for x
    x = 326,790,582,336/260,826
  6. Step 6: Final answer
    x = 1,252,906.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.