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Finding the Third Proportional to 423,015.75 and 973,995.75

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Solution

The third proportional to 423,015.75 and 973,995.75 is: 2,242,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,015.75 : 973,995.75 = 973,995.75 : x
  2. Step 2: Convert to fraction form
    423,015.75/973,995.75 = 973,995.75/x
  3. Step 3: Cross multiply
    423,015.75x = 973,995.75 × 973,995.75
  4. Step 4: Simplify right side
    423,015.75x = 948,667,721,018.06
  5. Step 5: Solve for x
    x = 948,667,721,018.06/423,015.75
  6. Step 6: Final answer
    x = 2,242,629.79

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.