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Finding the Third Proportional to 305,698.50 and 449,151.75

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Solution

The third proportional to 305,698.50 and 449,151.75 is: 659,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,698.50 : 449,151.75 = 449,151.75 : x
  2. Step 2: Convert to fraction form
    305,698.50/449,151.75 = 449,151.75/x
  3. Step 3: Cross multiply
    305,698.50x = 449,151.75 × 449,151.75
  4. Step 4: Simplify right side
    305,698.50x = 201,737,294,528.06
  5. Step 5: Solve for x
    x = 201,737,294,528.06/305,698.50
  6. Step 6: Final answer
    x = 659,922.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.