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Finding the Third Proportional to 350,194 and 791,326

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Solution

The third proportional to 350,194 and 791,326 is: 1,788,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,194 : 791,326 = 791,326 : x
  2. Step 2: Convert to fraction form
    350,194/791,326 = 791,326/x
  3. Step 3: Cross multiply
    350,194x = 791,326 × 791,326
  4. Step 4: Simplify right side
    350,194x = 626,196,838,276
  5. Step 5: Solve for x
    x = 626,196,838,276/350,194
  6. Step 6: Final answer
    x = 1,788,142.68

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.