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Finding the Third Proportional to 286,158.50 and 595,865.25

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Solution

The third proportional to 286,158.50 and 595,865.25 is: 1,240,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,158.50 : 595,865.25 = 595,865.25 : x
  2. Step 2: Convert to fraction form
    286,158.50/595,865.25 = 595,865.25/x
  3. Step 3: Cross multiply
    286,158.50x = 595,865.25 × 595,865.25
  4. Step 4: Simplify right side
    286,158.50x = 355,055,396,157.56
  5. Step 5: Solve for x
    x = 355,055,396,157.56/286,158.50
  6. Step 6: Final answer
    x = 1,240,764.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.