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Finding the Third Proportional to 231,322 and 535,471

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Solution

The third proportional to 231,322 and 535,471 is: 1,239,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,322 : 535,471 = 535,471 : x
  2. Step 2: Convert to fraction form
    231,322/535,471 = 535,471/x
  3. Step 3: Cross multiply
    231,322x = 535,471 × 535,471
  4. Step 4: Simplify right side
    231,322x = 286,729,191,841
  5. Step 5: Solve for x
    x = 286,729,191,841/231,322
  6. Step 6: Final answer
    x = 1,239,524.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.