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Finding the Third Proportional to 253,951 and 541,652

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Solution

The third proportional to 253,951 and 541,652 is: 1,155,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,951 : 541,652 = 541,652 : x
  2. Step 2: Convert to fraction form
    253,951/541,652 = 541,652/x
  3. Step 3: Cross multiply
    253,951x = 541,652 × 541,652
  4. Step 4: Simplify right side
    253,951x = 293,386,889,104
  5. Step 5: Solve for x
    x = 293,386,889,104/253,951
  6. Step 6: Final answer
    x = 1,155,289.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.