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Finding the Third Proportional to 233,910 and 505,211

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Solution

The third proportional to 233,910 and 505,211 is: 1,091,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,910 : 505,211 = 505,211 : x
  2. Step 2: Convert to fraction form
    233,910/505,211 = 505,211/x
  3. Step 3: Cross multiply
    233,910x = 505,211 × 505,211
  4. Step 4: Simplify right side
    233,910x = 255,238,154,521
  5. Step 5: Solve for x
    x = 255,238,154,521/233,910
  6. Step 6: Final answer
    x = 1,091,181.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.