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Finding the Third Proportional to 359.44 and 930.45

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Solution

The third proportional to 359.44 and 930.45 is: 2,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.44 : 930.45 = 930.45 : x
  2. Step 2: Convert to fraction form
    359.44/930.45 = 930.45/x
  3. Step 3: Cross multiply
    359.44x = 930.45 × 930.45
  4. Step 4: Simplify right side
    359.44x = 865,728.48
  5. Step 5: Solve for x
    x = 865,728.48/359.44
  6. Step 6: Final answer
    x = 2,408.56

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.