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Finding the Third Proportional to 328,482 and 363,042

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Solution

The third proportional to 328,482 and 363,042 is: 401,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,482 : 363,042 = 363,042 : x
  2. Step 2: Convert to fraction form
    328,482/363,042 = 363,042/x
  3. Step 3: Cross multiply
    328,482x = 363,042 × 363,042
  4. Step 4: Simplify right side
    328,482x = 131,799,493,764
  5. Step 5: Solve for x
    x = 131,799,493,764/328,482
  6. Step 6: Final answer
    x = 401,238.10

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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.