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Finding the Third Proportional to 344,279 and 526,328

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Solution

The third proportional to 344,279 and 526,328 is: 804,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,279 : 526,328 = 526,328 : x
  2. Step 2: Convert to fraction form
    344,279/526,328 = 526,328/x
  3. Step 3: Cross multiply
    344,279x = 526,328 × 526,328
  4. Step 4: Simplify right side
    344,279x = 277,021,163,584
  5. Step 5: Solve for x
    x = 277,021,163,584/344,279
  6. Step 6: Final answer
    x = 804,641.48

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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.