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Finding the Third Proportional to 468,067.50 and 1,007,237.75

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Solution

The third proportional to 468,067.50 and 1,007,237.75 is: 2,167,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,067.50 : 1,007,237.75 = 1,007,237.75 : x
  2. Step 2: Convert to fraction form
    468,067.50/1,007,237.75 = 1,007,237.75/x
  3. Step 3: Cross multiply
    468,067.50x = 1,007,237.75 × 1,007,237.75
  4. Step 4: Simplify right side
    468,067.50x = 1,014,527,885,025.06
  5. Step 5: Solve for x
    x = 1,014,527,885,025.06/468,067.50
  6. Step 6: Final answer
    x = 2,167,482.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.