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Finding the Third Proportional to 214,978 and 466,768

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Solution

The third proportional to 214,978 and 466,768 is: 1,013,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978 : 466,768 = 466,768 : x
  2. Step 2: Convert to fraction form
    214,978/466,768 = 466,768/x
  3. Step 3: Cross multiply
    214,978x = 466,768 × 466,768
  4. Step 4: Simplify right side
    214,978x = 217,872,365,824
  5. Step 5: Solve for x
    x = 217,872,365,824/214,978
  6. Step 6: Final answer
    x = 1,013,463.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.