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Finding the Third Proportional to 262,899 and 570,084.75

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Solution

The third proportional to 262,899 and 570,084.75 is: 1,236,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,899 : 570,084.75 = 570,084.75 : x
  2. Step 2: Convert to fraction form
    262,899/570,084.75 = 570,084.75/x
  3. Step 3: Cross multiply
    262,899x = 570,084.75 × 570,084.75
  4. Step 4: Simplify right side
    262,899x = 324,996,622,182.56
  5. Step 5: Solve for x
    x = 324,996,622,182.56/262,899
  6. Step 6: Final answer
    x = 1,236,203.34

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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.