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Finding the Third Proportional to 369,944.23 and 794,959.38

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Solution

The third proportional to 369,944.23 and 794,959.38 is: 1,708,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,944.23 : 794,959.38 = 794,959.38 : x
  2. Step 2: Convert to fraction form
    369,944.23/794,959.38 = 794,959.38/x
  3. Step 3: Cross multiply
    369,944.23x = 794,959.38 × 794,959.38
  4. Step 4: Simplify right side
    369,944.23x = 631,960,420,321.63
  5. Step 5: Solve for x
    x = 631,960,420,321.63/369,944.23
  6. Step 6: Final answer
    x = 1,708,258.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.