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Finding the Third Proportional to 303,361.50 and 661,014

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Solution

The third proportional to 303,361.50 and 661,014 is: 1,440,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,361.50 : 661,014 = 661,014 : x
  2. Step 2: Convert to fraction form
    303,361.50/661,014 = 661,014/x
  3. Step 3: Cross multiply
    303,361.50x = 661,014 × 661,014
  4. Step 4: Simplify right side
    303,361.50x = 436,939,508,196
  5. Step 5: Solve for x
    x = 436,939,508,196/303,361.50
  6. Step 6: Final answer
    x = 1,440,326.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.