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Finding the Third Proportional to 344,241 and 526,223

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Solution

The third proportional to 344,241 and 526,223 is: 804,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,241 : 526,223 = 526,223 : x
  2. Step 2: Convert to fraction form
    344,241/526,223 = 526,223/x
  3. Step 3: Cross multiply
    344,241x = 526,223 × 526,223
  4. Step 4: Simplify right side
    344,241x = 276,910,645,729
  5. Step 5: Solve for x
    x = 276,910,645,729/344,241
  6. Step 6: Final answer
    x = 804,409.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.