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Finding the Third Proportional to 303,925.50 and 661,362.75

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Solution

The third proportional to 303,925.50 and 661,362.75 is: 1,439,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,925.50 : 661,362.75 = 661,362.75 : x
  2. Step 2: Convert to fraction form
    303,925.50/661,362.75 = 661,362.75/x
  3. Step 3: Cross multiply
    303,925.50x = 661,362.75 × 661,362.75
  4. Step 4: Simplify right side
    303,925.50x = 437,400,687,087.56
  5. Step 5: Solve for x
    x = 437,400,687,087.56/303,925.50
  6. Step 6: Final answer
    x = 1,439,170.74

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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.