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Finding the Third Proportional to 219,206 and 476,004

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Solution

The third proportional to 219,206 and 476,004 is: 1,033,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,206 : 476,004 = 476,004 : x
  2. Step 2: Convert to fraction form
    219,206/476,004 = 476,004/x
  3. Step 3: Cross multiply
    219,206x = 476,004 × 476,004
  4. Step 4: Simplify right side
    219,206x = 226,579,808,016
  5. Step 5: Solve for x
    x = 226,579,808,016/219,206
  6. Step 6: Final answer
    x = 1,033,638.71

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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.