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Finding the Third Proportional to 1,234.63 and 1,803.19

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Solution

The third proportional to 1,234.63 and 1,803.19 is: 2,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.63 : 1,803.19 = 1,803.19 : x
  2. Step 2: Convert to fraction form
    1,234.63/1,803.19 = 1,803.19/x
  3. Step 3: Cross multiply
    1,234.63x = 1,803.19 × 1,803.19
  4. Step 4: Simplify right side
    1,234.63x = 3,251,485.16
  5. Step 5: Solve for x
    x = 3,251,485.16/1,234.63
  6. Step 6: Final answer
    x = 2,633.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.