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Finding the Third Proportional to 223,221 and 526,845

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Solution

The third proportional to 223,221 and 526,845 is: 1,243,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,221 : 526,845 = 526,845 : x
  2. Step 2: Convert to fraction form
    223,221/526,845 = 526,845/x
  3. Step 3: Cross multiply
    223,221x = 526,845 × 526,845
  4. Step 4: Simplify right side
    223,221x = 277,565,654,025
  5. Step 5: Solve for x
    x = 277,565,654,025/223,221
  6. Step 6: Final answer
    x = 1,243,456.73

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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.