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Finding the Third Proportional to 263,232 and 407,152

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Solution

The third proportional to 263,232 and 407,152 is: 629,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,232 : 407,152 = 407,152 : x
  2. Step 2: Convert to fraction form
    263,232/407,152 = 407,152/x
  3. Step 3: Cross multiply
    263,232x = 407,152 × 407,152
  4. Step 4: Simplify right side
    263,232x = 165,772,751,104
  5. Step 5: Solve for x
    x = 165,772,751,104/263,232
  6. Step 6: Final answer
    x = 629,759.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.