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Finding the Third Proportional to 219,082 and 352,719

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Solution

The third proportional to 219,082 and 352,719 is: 567,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,082 : 352,719 = 352,719 : x
  2. Step 2: Convert to fraction form
    219,082/352,719 = 352,719/x
  3. Step 3: Cross multiply
    219,082x = 352,719 × 352,719
  4. Step 4: Simplify right side
    219,082x = 124,410,692,961
  5. Step 5: Solve for x
    x = 124,410,692,961/219,082
  6. Step 6: Final answer
    x = 567,872.73

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.