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Finding the Third Proportional to 305,999 and 474,984

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Solution

The third proportional to 305,999 and 474,984 is: 737,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,999 : 474,984 = 474,984 : x
  2. Step 2: Convert to fraction form
    305,999/474,984 = 474,984/x
  3. Step 3: Cross multiply
    305,999x = 474,984 × 474,984
  4. Step 4: Simplify right side
    305,999x = 225,609,800,256
  5. Step 5: Solve for x
    x = 225,609,800,256/305,999
  6. Step 6: Final answer
    x = 737,289.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.