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Finding the Third Proportional to 217,042 and 476,103

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Solution

The third proportional to 217,042 and 476,103 is: 1,044,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042 : 476,103 = 476,103 : x
  2. Step 2: Convert to fraction form
    217,042/476,103 = 476,103/x
  3. Step 3: Cross multiply
    217,042x = 476,103 × 476,103
  4. Step 4: Simplify right side
    217,042x = 226,674,066,609
  5. Step 5: Solve for x
    x = 226,674,066,609/217,042
  6. Step 6: Final answer
    x = 1,044,378.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.