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Finding the Third Proportional to 327,604 and 493,715

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Solution

The third proportional to 327,604 and 493,715 is: 744,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,604 : 493,715 = 493,715 : x
  2. Step 2: Convert to fraction form
    327,604/493,715 = 493,715/x
  3. Step 3: Cross multiply
    327,604x = 493,715 × 493,715
  4. Step 4: Simplify right side
    327,604x = 243,754,501,225
  5. Step 5: Solve for x
    x = 243,754,501,225/327,604
  6. Step 6: Final answer
    x = 744,052.27

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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.