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Finding the Third Proportional to 227,814 and 532,275

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Solution

The third proportional to 227,814 and 532,275 is: 1,243,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,814 : 532,275 = 532,275 : x
  2. Step 2: Convert to fraction form
    227,814/532,275 = 532,275/x
  3. Step 3: Cross multiply
    227,814x = 532,275 × 532,275
  4. Step 4: Simplify right side
    227,814x = 283,316,675,625
  5. Step 5: Solve for x
    x = 283,316,675,625/227,814
  6. Step 6: Final answer
    x = 1,243,631.54

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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.