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Finding the Third Proportional to 219,613 and 479,504

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Solution

The third proportional to 219,613 and 479,504 is: 1,046,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,613 : 479,504 = 479,504 : x
  2. Step 2: Convert to fraction form
    219,613/479,504 = 479,504/x
  3. Step 3: Cross multiply
    219,613x = 479,504 × 479,504
  4. Step 4: Simplify right side
    219,613x = 229,924,086,016
  5. Step 5: Solve for x
    x = 229,924,086,016/219,613
  6. Step 6: Final answer
    x = 1,046,951.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.