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Finding the Third Proportional to 378,086.06 and 830,712.38

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Solution

The third proportional to 378,086.06 and 830,712.38 is: 1,825,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,086.06 : 830,712.38 = 830,712.38 : x
  2. Step 2: Convert to fraction form
    378,086.06/830,712.38 = 830,712.38/x
  3. Step 3: Cross multiply
    378,086.06x = 830,712.38 × 830,712.38
  4. Step 4: Simplify right side
    378,086.06x = 690,083,049,978.14
  5. Step 5: Solve for x
    x = 690,083,049,978.14/378,086.06
  6. Step 6: Final answer
    x = 1,825,200.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.