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Finding the Third Proportional to 370.63 and 798.63

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Solution

The third proportional to 370.63 and 798.63 is: 1,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.63 : 798.63 = 798.63 : x
  2. Step 2: Convert to fraction form
    370.63/798.63 = 798.63/x
  3. Step 3: Cross multiply
    370.63x = 798.63 × 798.63
  4. Step 4: Simplify right side
    370.63x = 637,801.89
  5. Step 5: Solve for x
    x = 637,801.89/370.63
  6. Step 6: Final answer
    x = 1,720.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.