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Finding the Third Proportional to 305,923.50 and 673,015.50

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Solution

The third proportional to 305,923.50 and 673,015.50 is: 1,480,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,923.50 : 673,015.50 = 673,015.50 : x
  2. Step 2: Convert to fraction form
    305,923.50/673,015.50 = 673,015.50/x
  3. Step 3: Cross multiply
    305,923.50x = 673,015.50 × 673,015.50
  4. Step 4: Simplify right side
    305,923.50x = 452,949,863,240.25
  5. Step 5: Solve for x
    x = 452,949,863,240.25/305,923.50
  6. Step 6: Final answer
    x = 1,480,598.46

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Why These Related Problems?

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