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Finding the Third Proportional to 370.63 and 792.44

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Solution

The third proportional to 370.63 and 792.44 is: 1,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.63 : 792.44 = 792.44 : x
  2. Step 2: Convert to fraction form
    370.63/792.44 = 792.44/x
  3. Step 3: Cross multiply
    370.63x = 792.44 × 792.44
  4. Step 4: Simplify right side
    370.63x = 627,957.19
  5. Step 5: Solve for x
    x = 627,957.19/370.63
  6. Step 6: Final answer
    x = 1,694.32

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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.