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Finding the Third Proportional to 254,025.50 and 568,195

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Solution

The third proportional to 254,025.50 and 568,195 is: 1,270,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,025.50 : 568,195 = 568,195 : x
  2. Step 2: Convert to fraction form
    254,025.50/568,195 = 568,195/x
  3. Step 3: Cross multiply
    254,025.50x = 568,195 × 568,195
  4. Step 4: Simplify right side
    254,025.50x = 322,845,558,025
  5. Step 5: Solve for x
    x = 322,845,558,025/254,025.50
  6. Step 6: Final answer
    x = 1,270,917.91

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.