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Finding the Third Proportional to 703.50 and 1,803.75

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Solution

The third proportional to 703.50 and 1,803.75 is: 4,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.50 : 1,803.75 = 1,803.75 : x
  2. Step 2: Convert to fraction form
    703.50/1,803.75 = 1,803.75/x
  3. Step 3: Cross multiply
    703.50x = 1,803.75 × 1,803.75
  4. Step 4: Simplify right side
    703.50x = 3,253,514.06
  5. Step 5: Solve for x
    x = 3,253,514.06/703.50
  6. Step 6: Final answer
    x = 4,624.75

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.