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Finding the Third Proportional to 226,102 and 491,084

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Solution

The third proportional to 226,102 and 491,084 is: 1,066,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,102 : 491,084 = 491,084 : x
  2. Step 2: Convert to fraction form
    226,102/491,084 = 491,084/x
  3. Step 3: Cross multiply
    226,102x = 491,084 × 491,084
  4. Step 4: Simplify right side
    226,102x = 241,163,495,056
  5. Step 5: Solve for x
    x = 241,163,495,056/226,102
  6. Step 6: Final answer
    x = 1,066,613.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.