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Finding the Third Proportional to 370,112 and 795,286

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Solution

The third proportional to 370,112 and 795,286 is: 1,708,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,112 : 795,286 = 795,286 : x
  2. Step 2: Convert to fraction form
    370,112/795,286 = 795,286/x
  3. Step 3: Cross multiply
    370,112x = 795,286 × 795,286
  4. Step 4: Simplify right side
    370,112x = 632,479,821,796
  5. Step 5: Solve for x
    x = 632,479,821,796/370,112
  6. Step 6: Final answer
    x = 1,708,887.64

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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.