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Finding the Third Proportional to 350,896 and 544,326

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Solution

The third proportional to 350,896 and 544,326 is: 844,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,896 : 544,326 = 544,326 : x
  2. Step 2: Convert to fraction form
    350,896/544,326 = 544,326/x
  3. Step 3: Cross multiply
    350,896x = 544,326 × 544,326
  4. Step 4: Simplify right side
    350,896x = 296,290,794,276
  5. Step 5: Solve for x
    x = 296,290,794,276/350,896
  6. Step 6: Final answer
    x = 844,383.50

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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.