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Finding the Third Proportional to 327,604.50 and 493,715.25

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Solution

The third proportional to 327,604.50 and 493,715.25 is: 744,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,604.50 : 493,715.25 = 493,715.25 : x
  2. Step 2: Convert to fraction form
    327,604.50/493,715.25 = 493,715.25/x
  3. Step 3: Cross multiply
    327,604.50x = 493,715.25 × 493,715.25
  4. Step 4: Simplify right side
    327,604.50x = 243,754,748,082.56
  5. Step 5: Solve for x
    x = 243,754,748,082.56/327,604.50
  6. Step 6: Final answer
    x = 744,051.89

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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.