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Finding the Third Proportional to 223,236 and 526,869

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Solution

The third proportional to 223,236 and 526,869 is: 1,243,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,236 : 526,869 = 526,869 : x
  2. Step 2: Convert to fraction form
    223,236/526,869 = 526,869/x
  3. Step 3: Cross multiply
    223,236x = 526,869 × 526,869
  4. Step 4: Simplify right side
    223,236x = 277,590,943,161
  5. Step 5: Solve for x
    x = 277,590,943,161/223,236
  6. Step 6: Final answer
    x = 1,243,486.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.