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Finding the Third Proportional to 217,714 and 336,403

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Solution

The third proportional to 217,714 and 336,403 is: 519,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,714 : 336,403 = 336,403 : x
  2. Step 2: Convert to fraction form
    217,714/336,403 = 336,403/x
  3. Step 3: Cross multiply
    217,714x = 336,403 × 336,403
  4. Step 4: Simplify right side
    217,714x = 113,166,978,409
  5. Step 5: Solve for x
    x = 113,166,978,409/217,714
  6. Step 6: Final answer
    x = 519,796.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.