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Finding the Third Proportional to 327,614 and 493,726

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Solution

The third proportional to 327,614 and 493,726 is: 744,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,614 : 493,726 = 493,726 : x
  2. Step 2: Convert to fraction form
    327,614/493,726 = 493,726/x
  3. Step 3: Cross multiply
    327,614x = 493,726 × 493,726
  4. Step 4: Simplify right side
    327,614x = 243,765,363,076
  5. Step 5: Solve for x
    x = 243,765,363,076/327,614
  6. Step 6: Final answer
    x = 744,062.72

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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.