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Finding the Third Proportional to 233,322 and 361,971

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Solution

The third proportional to 233,322 and 361,971 is: 561,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,322 : 361,971 = 361,971 : x
  2. Step 2: Convert to fraction form
    233,322/361,971 = 361,971/x
  3. Step 3: Cross multiply
    233,322x = 361,971 × 361,971
  4. Step 4: Simplify right side
    233,322x = 131,023,004,841
  5. Step 5: Solve for x
    x = 131,023,004,841/233,322
  6. Step 6: Final answer
    x = 561,554.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.