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Finding the Third Proportional to 236,455 and 363,450

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Solution

The third proportional to 236,455 and 363,450 is: 558,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,455 : 363,450 = 363,450 : x
  2. Step 2: Convert to fraction form
    236,455/363,450 = 363,450/x
  3. Step 3: Cross multiply
    236,455x = 363,450 × 363,450
  4. Step 4: Simplify right side
    236,455x = 132,095,902,500
  5. Step 5: Solve for x
    x = 132,095,902,500/236,455
  6. Step 6: Final answer
    x = 558,651.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.