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Finding the Third Proportional to 272,914 and 413,611

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Solution

The third proportional to 272,914 and 413,611 is: 626,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,914 : 413,611 = 413,611 : x
  2. Step 2: Convert to fraction form
    272,914/413,611 = 413,611/x
  3. Step 3: Cross multiply
    272,914x = 413,611 × 413,611
  4. Step 4: Simplify right side
    272,914x = 171,074,059,321
  5. Step 5: Solve for x
    x = 171,074,059,321/272,914
  6. Step 6: Final answer
    x = 626,842.37

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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.