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Finding the Third Proportional to 328,497 and 363,057

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Solution

The third proportional to 328,497 and 363,057 is: 401,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,497 : 363,057 = 363,057 : x
  2. Step 2: Convert to fraction form
    328,497/363,057 = 363,057/x
  3. Step 3: Cross multiply
    328,497x = 363,057 × 363,057
  4. Step 4: Simplify right side
    328,497x = 131,810,385,249
  5. Step 5: Solve for x
    x = 131,810,385,249/328,497
  6. Step 6: Final answer
    x = 401,252.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.