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Finding the Third Proportional to 306,245.50 and 447,272

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Solution

The third proportional to 306,245.50 and 447,272 is: 653,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,245.50 : 447,272 = 447,272 : x
  2. Step 2: Convert to fraction form
    306,245.50/447,272 = 447,272/x
  3. Step 3: Cross multiply
    306,245.50x = 447,272 × 447,272
  4. Step 4: Simplify right side
    306,245.50x = 200,052,241,984
  5. Step 5: Solve for x
    x = 200,052,241,984/306,245.50
  6. Step 6: Final answer
    x = 653,241.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.