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Finding the Third Proportional to 598,729.50 and 929,625.75

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Solution

The third proportional to 598,729.50 and 929,625.75 is: 1,443,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,729.50 : 929,625.75 = 929,625.75 : x
  2. Step 2: Convert to fraction form
    598,729.50/929,625.75 = 929,625.75/x
  3. Step 3: Cross multiply
    598,729.50x = 929,625.75 × 929,625.75
  4. Step 4: Simplify right side
    598,729.50x = 864,204,035,063.06
  5. Step 5: Solve for x
    x = 864,204,035,063.06/598,729.50
  6. Step 6: Final answer
    x = 1,443,396.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.