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Finding the Third Proportional to 260,787.94 and 571,406.06

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Solution

The third proportional to 260,787.94 and 571,406.06 is: 1,251,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,787.94 : 571,406.06 = 571,406.06 : x
  2. Step 2: Convert to fraction form
    260,787.94/571,406.06 = 571,406.06/x
  3. Step 3: Cross multiply
    260,787.94x = 571,406.06 × 571,406.06
  4. Step 4: Simplify right side
    260,787.94x = 326,504,888,261.75
  5. Step 5: Solve for x
    x = 326,504,888,261.75/260,787.94
  6. Step 6: Final answer
    x = 1,251,993.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.