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Finding the Third Proportional to 223,826.50 and 485,504

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Solution

The third proportional to 223,826.50 and 485,504 is: 1,053,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,826.50 : 485,504 = 485,504 : x
  2. Step 2: Convert to fraction form
    223,826.50/485,504 = 485,504/x
  3. Step 3: Cross multiply
    223,826.50x = 485,504 × 485,504
  4. Step 4: Simplify right side
    223,826.50x = 235,714,134,016
  5. Step 5: Solve for x
    x = 235,714,134,016/223,826.50
  6. Step 6: Final answer
    x = 1,053,110.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.