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Finding the Third Proportional to 227,796 and 532,230

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Solution

The third proportional to 227,796 and 532,230 is: 1,243,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,796 : 532,230 = 532,230 : x
  2. Step 2: Convert to fraction form
    227,796/532,230 = 532,230/x
  3. Step 3: Cross multiply
    227,796x = 532,230 × 532,230
  4. Step 4: Simplify right side
    227,796x = 283,268,772,900
  5. Step 5: Solve for x
    x = 283,268,772,900/227,796
  6. Step 6: Final answer
    x = 1,243,519.52

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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.