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Finding the Third Proportional to 312,067.50 and 456,993

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Solution

The third proportional to 312,067.50 and 456,993 is: 669,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,067.50 : 456,993 = 456,993 : x
  2. Step 2: Convert to fraction form
    312,067.50/456,993 = 456,993/x
  3. Step 3: Cross multiply
    312,067.50x = 456,993 × 456,993
  4. Step 4: Simplify right side
    312,067.50x = 208,842,602,049
  5. Step 5: Solve for x
    x = 208,842,602,049/312,067.50
  6. Step 6: Final answer
    x = 669,222.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.