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Finding the Third Proportional to 302,489.44 and 658,317.38

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Solution

The third proportional to 302,489.44 and 658,317.38 is: 1,432,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,489.44 : 658,317.38 = 658,317.38 : x
  2. Step 2: Convert to fraction form
    302,489.44/658,317.38 = 658,317.38/x
  3. Step 3: Cross multiply
    302,489.44x = 658,317.38 × 658,317.38
  4. Step 4: Simplify right side
    302,489.44x = 433,381,766,226.89
  5. Step 5: Solve for x
    x = 433,381,766,226.89/302,489.44
  6. Step 6: Final answer
    x = 1,432,717.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.