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Finding the Third Proportional to 219,350 and 476,284

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Solution

The third proportional to 219,350 and 476,284 is: 1,034,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,350 : 476,284 = 476,284 : x
  2. Step 2: Convert to fraction form
    219,350/476,284 = 476,284/x
  3. Step 3: Cross multiply
    219,350x = 476,284 × 476,284
  4. Step 4: Simplify right side
    219,350x = 226,846,448,656
  5. Step 5: Solve for x
    x = 226,846,448,656/219,350
  6. Step 6: Final answer
    x = 1,034,175.74

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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.