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Finding the Third Proportional to 332,739 and 511,965

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Solution

The third proportional to 332,739 and 511,965 is: 787,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,739 : 511,965 = 511,965 : x
  2. Step 2: Convert to fraction form
    332,739/511,965 = 511,965/x
  3. Step 3: Cross multiply
    332,739x = 511,965 × 511,965
  4. Step 4: Simplify right side
    332,739x = 262,108,161,225
  5. Step 5: Solve for x
    x = 262,108,161,225/332,739
  6. Step 6: Final answer
    x = 787,729.00

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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.