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Finding the Third Proportional to 359.96 and 575.54

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Solution

The third proportional to 359.96 and 575.54 is: 920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 575.54 = 575.54 : x
  2. Step 2: Convert to fraction form
    359.96/575.54 = 575.54/x
  3. Step 3: Cross multiply
    359.96x = 575.54 × 575.54
  4. Step 4: Simplify right side
    359.96x = 331,249.71
  5. Step 5: Solve for x
    x = 331,249.71/359.96
  6. Step 6: Final answer
    x = 920.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.