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Finding the Third Proportional to 227,828 and 532,308

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Solution

The third proportional to 227,828 and 532,308 is: 1,243,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,828 : 532,308 = 532,308 : x
  2. Step 2: Convert to fraction form
    227,828/532,308 = 532,308/x
  3. Step 3: Cross multiply
    227,828x = 532,308 × 532,308
  4. Step 4: Simplify right side
    227,828x = 283,351,806,864
  5. Step 5: Solve for x
    x = 283,351,806,864/227,828
  6. Step 6: Final answer
    x = 1,243,709.32

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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.