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Finding the Third Proportional to 390.45 and 835.52

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Solution

The third proportional to 390.45 and 835.52 is: 1,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.45 : 835.52 = 835.52 : x
  2. Step 2: Convert to fraction form
    390.45/835.52 = 835.52/x
  3. Step 3: Cross multiply
    390.45x = 835.52 × 835.52
  4. Step 4: Simplify right side
    390.45x = 698,099.41
  5. Step 5: Solve for x
    x = 698,099.41/390.45
  6. Step 6: Final answer
    x = 1,787.96

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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.