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Finding the Third Proportional to 259,486.50 and 570,093

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Solution

The third proportional to 259,486.50 and 570,093 is: 1,252,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,486.50 : 570,093 = 570,093 : x
  2. Step 2: Convert to fraction form
    259,486.50/570,093 = 570,093/x
  3. Step 3: Cross multiply
    259,486.50x = 570,093 × 570,093
  4. Step 4: Simplify right side
    259,486.50x = 325,006,028,649
  5. Step 5: Solve for x
    x = 325,006,028,649/259,486.50
  6. Step 6: Final answer
    x = 1,252,496.87

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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.