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Finding the Third Proportional to 312,525 and 481,761

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Solution

The third proportional to 312,525 and 481,761 is: 742,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,525 : 481,761 = 481,761 : x
  2. Step 2: Convert to fraction form
    312,525/481,761 = 481,761/x
  3. Step 3: Cross multiply
    312,525x = 481,761 × 481,761
  4. Step 4: Simplify right side
    312,525x = 232,093,661,121
  5. Step 5: Solve for x
    x = 232,093,661,121/312,525
  6. Step 6: Final answer
    x = 742,640.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.