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Finding the Third Proportional to 776,260.50 and 1,177,521.75

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Solution

The third proportional to 776,260.50 and 1,177,521.75 is: 1,786,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,260.50 : 1,177,521.75 = 1,177,521.75 : x
  2. Step 2: Convert to fraction form
    776,260.50/1,177,521.75 = 1,177,521.75/x
  3. Step 3: Cross multiply
    776,260.50x = 1,177,521.75 × 1,177,521.75
  4. Step 4: Simplify right side
    776,260.50x = 1,386,557,471,723.06
  5. Step 5: Solve for x
    x = 1,386,557,471,723.06/776,260.50
  6. Step 6: Final answer
    x = 1,786,201.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.