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Finding the Third Proportional to 310,450.50 and 468,105.75

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Solution

The third proportional to 310,450.50 and 468,105.75 is: 705,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,450.50 : 468,105.75 = 468,105.75 : x
  2. Step 2: Convert to fraction form
    310,450.50/468,105.75 = 468,105.75/x
  3. Step 3: Cross multiply
    310,450.50x = 468,105.75 × 468,105.75
  4. Step 4: Simplify right side
    310,450.50x = 219,122,993,183.06
  5. Step 5: Solve for x
    x = 219,122,993,183.06/310,450.50
  6. Step 6: Final answer
    x = 705,822.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.