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Finding the Third Proportional to 272,628 and 413,847

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Solution

The third proportional to 272,628 and 413,847 is: 628,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,628 : 413,847 = 413,847 : x
  2. Step 2: Convert to fraction form
    272,628/413,847 = 413,847/x
  3. Step 3: Cross multiply
    272,628x = 413,847 × 413,847
  4. Step 4: Simplify right side
    272,628x = 171,269,339,409
  5. Step 5: Solve for x
    x = 171,269,339,409/272,628
  6. Step 6: Final answer
    x = 628,216.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.