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Finding the Third Proportional to 328,821 and 493,277.25

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Solution

The third proportional to 328,821 and 493,277.25 is: 739,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,821 : 493,277.25 = 493,277.25 : x
  2. Step 2: Convert to fraction form
    328,821/493,277.25 = 493,277.25/x
  3. Step 3: Cross multiply
    328,821x = 493,277.25 × 493,277.25
  4. Step 4: Simplify right side
    328,821x = 243,322,445,367.56
  5. Step 5: Solve for x
    x = 243,322,445,367.56/328,821
  6. Step 6: Final answer
    x = 739,984.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.