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Finding the Third Proportional to 262,533.50 and 396,205

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Solution

The third proportional to 262,533.50 and 396,205 is: 597,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,533.50 : 396,205 = 396,205 : x
  2. Step 2: Convert to fraction form
    262,533.50/396,205 = 396,205/x
  3. Step 3: Cross multiply
    262,533.50x = 396,205 × 396,205
  4. Step 4: Simplify right side
    262,533.50x = 156,978,402,025
  5. Step 5: Solve for x
    x = 156,978,402,025/262,533.50
  6. Step 6: Final answer
    x = 597,936.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.