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Finding the Third Proportional to 223,834 and 485,518

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Solution

The third proportional to 223,834 and 485,518 is: 1,053,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,834 : 485,518 = 485,518 : x
  2. Step 2: Convert to fraction form
    223,834/485,518 = 485,518/x
  3. Step 3: Cross multiply
    223,834x = 485,518 × 485,518
  4. Step 4: Simplify right side
    223,834x = 235,727,728,324
  5. Step 5: Solve for x
    x = 235,727,728,324/223,834
  6. Step 6: Final answer
    x = 1,053,136.38

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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.