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Finding the Third Proportional to 332,628.75 and 511,860.38

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Solution

The third proportional to 332,628.75 and 511,860.38 is: 787,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,628.75 : 511,860.38 = 511,860.38 : x
  2. Step 2: Convert to fraction form
    332,628.75/511,860.38 = 511,860.38/x
  3. Step 3: Cross multiply
    332,628.75x = 511,860.38 × 511,860.38
  4. Step 4: Simplify right side
    332,628.75x = 262,001,043,495.14
  5. Step 5: Solve for x
    x = 262,001,043,495.14/332,628.75
  6. Step 6: Final answer
    x = 787,668.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.