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Finding the Third Proportional to 213,269 and 466,714

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Solution

The third proportional to 213,269 and 466,714 is: 1,021,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,269 : 466,714 = 466,714 : x
  2. Step 2: Convert to fraction form
    213,269/466,714 = 466,714/x
  3. Step 3: Cross multiply
    213,269x = 466,714 × 466,714
  4. Step 4: Simplify right side
    213,269x = 217,821,957,796
  5. Step 5: Solve for x
    x = 217,821,957,796/213,269
  6. Step 6: Final answer
    x = 1,021,348.43

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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.