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Finding the Third Proportional to 374.78 and 770.45

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Solution

The third proportional to 374.78 and 770.45 is: 1,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.78 : 770.45 = 770.45 : x
  2. Step 2: Convert to fraction form
    374.78/770.45 = 770.45/x
  3. Step 3: Cross multiply
    374.78x = 770.45 × 770.45
  4. Step 4: Simplify right side
    374.78x = 593,592.00
  5. Step 5: Solve for x
    x = 593,592.00/374.78
  6. Step 6: Final answer
    x = 1,583.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.