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Finding the Third Proportional to 277,099.50 and 446,250

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Solution

The third proportional to 277,099.50 and 446,250 is: 718,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,099.50 : 446,250 = 446,250 : x
  2. Step 2: Convert to fraction form
    277,099.50/446,250 = 446,250/x
  3. Step 3: Cross multiply
    277,099.50x = 446,250 × 446,250
  4. Step 4: Simplify right side
    277,099.50x = 199,139,062,500
  5. Step 5: Solve for x
    x = 199,139,062,500/277,099.50
  6. Step 6: Final answer
    x = 718,655.44

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.