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Finding the Third Proportional to 236,997 and 526,482

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Solution

The third proportional to 236,997 and 526,482 is: 1,169,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,997 : 526,482 = 526,482 : x
  2. Step 2: Convert to fraction form
    236,997/526,482 = 526,482/x
  3. Step 3: Cross multiply
    236,997x = 526,482 × 526,482
  4. Step 4: Simplify right side
    236,997x = 277,183,296,324
  5. Step 5: Solve for x
    x = 277,183,296,324/236,997
  6. Step 6: Final answer
    x = 1,169,564.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.