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Finding the Third Proportional to 301,295.25 and 656,671.50

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Solution

The third proportional to 301,295.25 and 656,671.50 is: 1,431,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,295.25 : 656,671.50 = 656,671.50 : x
  2. Step 2: Convert to fraction form
    301,295.25/656,671.50 = 656,671.50/x
  3. Step 3: Cross multiply
    301,295.25x = 656,671.50 × 656,671.50
  4. Step 4: Simplify right side
    301,295.25x = 431,217,458,912.25
  5. Step 5: Solve for x
    x = 431,217,458,912.25/301,295.25
  6. Step 6: Final answer
    x = 1,431,212.27

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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.