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Finding the Third Proportional to 272,620 and 413,833

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Solution

The third proportional to 272,620 and 413,833 is: 628,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,620 : 413,833 = 413,833 : x
  2. Step 2: Convert to fraction form
    272,620/413,833 = 413,833/x
  3. Step 3: Cross multiply
    272,620x = 413,833 × 413,833
  4. Step 4: Simplify right side
    272,620x = 171,257,751,889
  5. Step 5: Solve for x
    x = 171,257,751,889/272,620
  6. Step 6: Final answer
    x = 628,192.18

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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.