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Finding the Third Proportional to 265,999.57 and 401,758.73

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Solution

The third proportional to 265,999.57 and 401,758.73 is: 606,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,999.57 : 401,758.73 = 401,758.73 : x
  2. Step 2: Convert to fraction form
    265,999.57/401,758.73 = 401,758.73/x
  3. Step 3: Cross multiply
    265,999.57x = 401,758.73 × 401,758.73
  4. Step 4: Simplify right side
    265,999.57x = 161,410,080,646.60
  5. Step 5: Solve for x
    x = 161,410,080,646.60/265,999.57
  6. Step 6: Final answer
    x = 606,805.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.