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Finding the Third Proportional to 302,272.50 and 658,815

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Solution

The third proportional to 302,272.50 and 658,815 is: 1,435,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,272.50 : 658,815 = 658,815 : x
  2. Step 2: Convert to fraction form
    302,272.50/658,815 = 658,815/x
  3. Step 3: Cross multiply
    302,272.50x = 658,815 × 658,815
  4. Step 4: Simplify right side
    302,272.50x = 434,037,204,225
  5. Step 5: Solve for x
    x = 434,037,204,225/302,272.50
  6. Step 6: Final answer
    x = 1,435,913.63

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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.