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Finding the Third Proportional to 259,486.88 and 570,051

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Solution

The third proportional to 259,486.88 and 570,051 is: 1,252,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,486.88 : 570,051 = 570,051 : x
  2. Step 2: Convert to fraction form
    259,486.88/570,051 = 570,051/x
  3. Step 3: Cross multiply
    259,486.88x = 570,051 × 570,051
  4. Step 4: Simplify right side
    259,486.88x = 324,958,142,601
  5. Step 5: Solve for x
    x = 324,958,142,601/259,486.88
  6. Step 6: Final answer
    x = 1,252,310.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.