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Finding the Third Proportional to 359.63 and 800.63

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Solution

The third proportional to 359.63 and 800.63 is: 1,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.63 : 800.63 = 800.63 : x
  2. Step 2: Convert to fraction form
    359.63/800.63 = 800.63/x
  3. Step 3: Cross multiply
    359.63x = 800.63 × 800.63
  4. Step 4: Simplify right side
    359.63x = 641,000.39
  5. Step 5: Solve for x
    x = 641,000.39/359.63
  6. Step 6: Final answer
    x = 1,782.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.