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Finding the Third Proportional to 217,032 and 476,083

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Solution

The third proportional to 217,032 and 476,083 is: 1,044,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032 : 476,083 = 476,083 : x
  2. Step 2: Convert to fraction form
    217,032/476,083 = 476,083/x
  3. Step 3: Cross multiply
    217,032x = 476,083 × 476,083
  4. Step 4: Simplify right side
    217,032x = 226,655,022,889
  5. Step 5: Solve for x
    x = 226,655,022,889/217,032
  6. Step 6: Final answer
    x = 1,044,339.19

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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.