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Finding the Third Proportional to 227,800 and 532,240

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Solution

The third proportional to 227,800 and 532,240 is: 1,243,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,800 : 532,240 = 532,240 : x
  2. Step 2: Convert to fraction form
    227,800/532,240 = 532,240/x
  3. Step 3: Cross multiply
    227,800x = 532,240 × 532,240
  4. Step 4: Simplify right side
    227,800x = 283,279,417,600
  5. Step 5: Solve for x
    x = 283,279,417,600/227,800
  6. Step 6: Final answer
    x = 1,243,544.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.