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Finding the Third Proportional to 598,742.50 and 1,297,142

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Solution

The third proportional to 598,742.50 and 1,297,142 is: 2,810,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,742.50 : 1,297,142 = 1,297,142 : x
  2. Step 2: Convert to fraction form
    598,742.50/1,297,142 = 1,297,142/x
  3. Step 3: Cross multiply
    598,742.50x = 1,297,142 × 1,297,142
  4. Step 4: Simplify right side
    598,742.50x = 1,682,577,368,164
  5. Step 5: Solve for x
    x = 1,682,577,368,164/598,742.50
  6. Step 6: Final answer
    x = 2,810,185.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.