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Finding the Third Proportional to 448,716.50 and 666,029.25

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Solution

The third proportional to 448,716.50 and 666,029.25 is: 988,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,716.50 : 666,029.25 = 666,029.25 : x
  2. Step 2: Convert to fraction form
    448,716.50/666,029.25 = 666,029.25/x
  3. Step 3: Cross multiply
    448,716.50x = 666,029.25 × 666,029.25
  4. Step 4: Simplify right side
    448,716.50x = 443,594,961,855.56
  5. Step 5: Solve for x
    x = 443,594,961,855.56/448,716.50
  6. Step 6: Final answer
    x = 988,586.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.