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Finding the Third Proportional to 223,504 and 486,906

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Solution

The third proportional to 223,504 and 486,906 is: 1,060,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,504 : 486,906 = 486,906 : x
  2. Step 2: Convert to fraction form
    223,504/486,906 = 486,906/x
  3. Step 3: Cross multiply
    223,504x = 486,906 × 486,906
  4. Step 4: Simplify right side
    223,504x = 237,077,452,836
  5. Step 5: Solve for x
    x = 237,077,452,836/223,504
  6. Step 6: Final answer
    x = 1,060,730.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.