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Finding the Third Proportional to 227,812 and 532,270

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Solution

The third proportional to 227,812 and 532,270 is: 1,243,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,812 : 532,270 = 532,270 : x
  2. Step 2: Convert to fraction form
    227,812/532,270 = 532,270/x
  3. Step 3: Cross multiply
    227,812x = 532,270 × 532,270
  4. Step 4: Simplify right side
    227,812x = 283,311,352,900
  5. Step 5: Solve for x
    x = 283,311,352,900/227,812
  6. Step 6: Final answer
    x = 1,243,619.09

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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.