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Finding the Third Proportional to 328,950 and 492,099

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Solution

The third proportional to 328,950 and 492,099 is: 736,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,950 : 492,099 = 492,099 : x
  2. Step 2: Convert to fraction form
    328,950/492,099 = 492,099/x
  3. Step 3: Cross multiply
    328,950x = 492,099 × 492,099
  4. Step 4: Simplify right side
    328,950x = 242,161,425,801
  5. Step 5: Solve for x
    x = 242,161,425,801/328,950
  6. Step 6: Final answer
    x = 736,164.85

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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.