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Finding the Third Proportional to 219,195 and 471,147

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Solution

The third proportional to 219,195 and 471,147 is: 1,012,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,195 : 471,147 = 471,147 : x
  2. Step 2: Convert to fraction form
    219,195/471,147 = 471,147/x
  3. Step 3: Cross multiply
    219,195x = 471,147 × 471,147
  4. Step 4: Simplify right side
    219,195x = 221,979,495,609
  5. Step 5: Solve for x
    x = 221,979,495,609/219,195
  6. Step 6: Final answer
    x = 1,012,703.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.