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Finding the Third Proportional to 303,354 and 666,328

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Solution

The third proportional to 303,354 and 666,328 is: 1,463,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,354 : 666,328 = 666,328 : x
  2. Step 2: Convert to fraction form
    303,354/666,328 = 666,328/x
  3. Step 3: Cross multiply
    303,354x = 666,328 × 666,328
  4. Step 4: Simplify right side
    303,354x = 443,993,003,584
  5. Step 5: Solve for x
    x = 443,993,003,584/303,354
  6. Step 6: Final answer
    x = 1,463,613.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.