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Finding the Third Proportional to 328,985 and 445,794

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Solution

The third proportional to 328,985 and 445,794 is: 604,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,985 : 445,794 = 445,794 : x
  2. Step 2: Convert to fraction form
    328,985/445,794 = 445,794/x
  3. Step 3: Cross multiply
    328,985x = 445,794 × 445,794
  4. Step 4: Simplify right side
    328,985x = 198,732,290,436
  5. Step 5: Solve for x
    x = 198,732,290,436/328,985
  6. Step 6: Final answer
    x = 604,077.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.