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Finding the Third Proportional to 776,184.75 and 1,087,665.75

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Solution

The third proportional to 776,184.75 and 1,087,665.75 is: 1,524,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,184.75 : 1,087,665.75 = 1,087,665.75 : x
  2. Step 2: Convert to fraction form
    776,184.75/1,087,665.75 = 1,087,665.75/x
  3. Step 3: Cross multiply
    776,184.75x = 1,087,665.75 × 1,087,665.75
  4. Step 4: Simplify right side
    776,184.75x = 1,183,016,783,723.06
  5. Step 5: Solve for x
    x = 1,183,016,783,723.06/776,184.75
  6. Step 6: Final answer
    x = 1,524,143.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.