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Finding the Third Proportional to 350,192 and 791,321

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Solution

The third proportional to 350,192 and 791,321 is: 1,788,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,192 : 791,321 = 791,321 : x
  2. Step 2: Convert to fraction form
    350,192/791,321 = 791,321/x
  3. Step 3: Cross multiply
    350,192x = 791,321 × 791,321
  4. Step 4: Simplify right side
    350,192x = 626,188,925,041
  5. Step 5: Solve for x
    x = 626,188,925,041/350,192
  6. Step 6: Final answer
    x = 1,788,130.30

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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.