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Finding the Third Proportional to 344,001 and 505,890

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Solution

The third proportional to 344,001 and 505,890 is: 743,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,001 : 505,890 = 505,890 : x
  2. Step 2: Convert to fraction form
    344,001/505,890 = 505,890/x
  3. Step 3: Cross multiply
    344,001x = 505,890 × 505,890
  4. Step 4: Simplify right side
    344,001x = 255,924,692,100
  5. Step 5: Solve for x
    x = 255,924,692,100/344,001
  6. Step 6: Final answer
    x = 743,964.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.