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Finding the Third Proportional to 392,192 and 830,608

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Solution

The third proportional to 392,192 and 830,608 is: 1,759,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,192 : 830,608 = 830,608 : x
  2. Step 2: Convert to fraction form
    392,192/830,608 = 830,608/x
  3. Step 3: Cross multiply
    392,192x = 830,608 × 830,608
  4. Step 4: Simplify right side
    392,192x = 689,909,649,664
  5. Step 5: Solve for x
    x = 689,909,649,664/392,192
  6. Step 6: Final answer
    x = 1,759,111.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.