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Finding the Third Proportional to 327,627 and 493,749

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Solution

The third proportional to 327,627 and 493,749 is: 744,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,627 : 493,749 = 493,749 : x
  2. Step 2: Convert to fraction form
    327,627/493,749 = 493,749/x
  3. Step 3: Cross multiply
    327,627x = 493,749 × 493,749
  4. Step 4: Simplify right side
    327,627x = 243,788,075,001
  5. Step 5: Solve for x
    x = 243,788,075,001/327,627
  6. Step 6: Final answer
    x = 744,102.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.