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Finding the Third Proportional to 230,910 and 479,964

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Solution

The third proportional to 230,910 and 479,964 is: 997,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,910 : 479,964 = 479,964 : x
  2. Step 2: Convert to fraction form
    230,910/479,964 = 479,964/x
  3. Step 3: Cross multiply
    230,910x = 479,964 × 479,964
  4. Step 4: Simplify right side
    230,910x = 230,365,441,296
  5. Step 5: Solve for x
    x = 230,365,441,296/230,910
  6. Step 6: Final answer
    x = 997,641.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.