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Finding the Third Proportional to 315,714 and 481,450.50

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Solution

The third proportional to 315,714 and 481,450.50 is: 734,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,714 : 481,450.50 = 481,450.50 : x
  2. Step 2: Convert to fraction form
    315,714/481,450.50 = 481,450.50/x
  3. Step 3: Cross multiply
    315,714x = 481,450.50 × 481,450.50
  4. Step 4: Simplify right side
    315,714x = 231,794,583,950.25
  5. Step 5: Solve for x
    x = 231,794,583,950.25/315,714
  6. Step 6: Final answer
    x = 734,191.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.