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Finding the Third Proportional to 254,615 and 558,195

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Solution

The third proportional to 254,615 and 558,195 is: 1,223,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,615 : 558,195 = 558,195 : x
  2. Step 2: Convert to fraction form
    254,615/558,195 = 558,195/x
  3. Step 3: Cross multiply
    254,615x = 558,195 × 558,195
  4. Step 4: Simplify right side
    254,615x = 311,581,658,025
  5. Step 5: Solve for x
    x = 311,581,658,025/254,615
  6. Step 6: Final answer
    x = 1,223,736.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.