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Finding the Third Proportional to 332,732 and 511,949

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Solution

The third proportional to 332,732 and 511,949 is: 787,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,732 : 511,949 = 511,949 : x
  2. Step 2: Convert to fraction form
    332,732/511,949 = 511,949/x
  3. Step 3: Cross multiply
    332,732x = 511,949 × 511,949
  4. Step 4: Simplify right side
    332,732x = 262,091,778,601
  5. Step 5: Solve for x
    x = 262,091,778,601/332,732
  6. Step 6: Final answer
    x = 787,696.34

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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.