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Finding the Third Proportional to 327,602 and 493,712

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Solution

The third proportional to 327,602 and 493,712 is: 744,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,602 : 493,712 = 493,712 : x
  2. Step 2: Convert to fraction form
    327,602/493,712 = 493,712/x
  3. Step 3: Cross multiply
    327,602x = 493,712 × 493,712
  4. Step 4: Simplify right side
    327,602x = 243,751,538,944
  5. Step 5: Solve for x
    x = 243,751,538,944/327,602
  6. Step 6: Final answer
    x = 744,047.77

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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.