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Finding the Third Proportional to 332,621 and 511,962

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Solution

The third proportional to 332,621 and 511,962 is: 787,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,621 : 511,962 = 511,962 : x
  2. Step 2: Convert to fraction form
    332,621/511,962 = 511,962/x
  3. Step 3: Cross multiply
    332,621x = 511,962 × 511,962
  4. Step 4: Simplify right side
    332,621x = 262,105,089,444
  5. Step 5: Solve for x
    x = 262,105,089,444/332,621
  6. Step 6: Final answer
    x = 787,999.22

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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.