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Finding the Third Proportional to 359.75 and 770.55

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Solution

The third proportional to 359.75 and 770.55 is: 1,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.75 : 770.55 = 770.55 : x
  2. Step 2: Convert to fraction form
    359.75/770.55 = 770.55/x
  3. Step 3: Cross multiply
    359.75x = 770.55 × 770.55
  4. Step 4: Simplify right side
    359.75x = 593,754.53
  5. Step 5: Solve for x
    x = 593,754.53/359.75
  6. Step 6: Final answer
    x = 1,650.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.