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Finding the Third Proportional to 332,744 and 511,968

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Solution

The third proportional to 332,744 and 511,968 is: 787,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,744 : 511,968 = 511,968 : x
  2. Step 2: Convert to fraction form
    332,744/511,968 = 511,968/x
  3. Step 3: Cross multiply
    332,744x = 511,968 × 511,968
  4. Step 4: Simplify right side
    332,744x = 262,111,233,024
  5. Step 5: Solve for x
    x = 262,111,233,024/332,744
  6. Step 6: Final answer
    x = 787,726.40

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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.