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Finding the Third Proportional to 703.83 and 1,629.28

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Solution

The third proportional to 703.83 and 1,629.28 is: 3,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.83 : 1,629.28 = 1,629.28 : x
  2. Step 2: Convert to fraction form
    703.83/1,629.28 = 1,629.28/x
  3. Step 3: Cross multiply
    703.83x = 1,629.28 × 1,629.28
  4. Step 4: Simplify right side
    703.83x = 2,654,557.39
  5. Step 5: Solve for x
    x = 2,654,557.39/703.83
  6. Step 6: Final answer
    x = 3,771.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.