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Finding the Third Proportional to 223,838 and 485,524

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Solution

The third proportional to 223,838 and 485,524 is: 1,053,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,838 : 485,524 = 485,524 : x
  2. Step 2: Convert to fraction form
    223,838/485,524 = 485,524/x
  3. Step 3: Cross multiply
    223,838x = 485,524 × 485,524
  4. Step 4: Simplify right side
    223,838x = 235,733,554,576
  5. Step 5: Solve for x
    x = 235,733,554,576/223,838
  6. Step 6: Final answer
    x = 1,053,143.59

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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.