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Finding the Third Proportional to 262,899 and 570,085

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Solution

The third proportional to 262,899 and 570,085 is: 1,236,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,899 : 570,085 = 570,085 : x
  2. Step 2: Convert to fraction form
    262,899/570,085 = 570,085/x
  3. Step 3: Cross multiply
    262,899x = 570,085 × 570,085
  4. Step 4: Simplify right side
    262,899x = 324,996,907,225
  5. Step 5: Solve for x
    x = 324,996,907,225/262,899
  6. Step 6: Final answer
    x = 1,236,204.43

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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.