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Finding the Third Proportional to 703.63 and 1,452.25

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Solution

The third proportional to 703.63 and 1,452.25 is: 2,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.63 : 1,452.25 = 1,452.25 : x
  2. Step 2: Convert to fraction form
    703.63/1,452.25 = 1,452.25/x
  3. Step 3: Cross multiply
    703.63x = 1,452.25 × 1,452.25
  4. Step 4: Simplify right side
    703.63x = 2,109,030.06
  5. Step 5: Solve for x
    x = 2,109,030.06/703.63
  6. Step 6: Final answer
    x = 2,997.38

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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.