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Finding the Third Proportional to 359,191 and 479,296

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Solution

The third proportional to 359,191 and 479,296 is: 639,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,191 : 479,296 = 479,296 : x
  2. Step 2: Convert to fraction form
    359,191/479,296 = 479,296/x
  3. Step 3: Cross multiply
    359,191x = 479,296 × 479,296
  4. Step 4: Simplify right side
    359,191x = 229,724,655,616
  5. Step 5: Solve for x
    x = 229,724,655,616/359,191
  6. Step 6: Final answer
    x = 639,561.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.