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Finding the Third Proportional to 262,857 and 570,001

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Solution

The third proportional to 262,857 and 570,001 is: 1,236,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857 : 570,001 = 570,001 : x
  2. Step 2: Convert to fraction form
    262,857/570,001 = 570,001/x
  3. Step 3: Cross multiply
    262,857x = 570,001 × 570,001
  4. Step 4: Simplify right side
    262,857x = 324,901,140,001
  5. Step 5: Solve for x
    x = 324,901,140,001/262,857
  6. Step 6: Final answer
    x = 1,236,037.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.