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Finding the Third Proportional to 363,679 and 795,074

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Solution

The third proportional to 363,679 and 795,074 is: 1,738,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,679 : 795,074 = 795,074 : x
  2. Step 2: Convert to fraction form
    363,679/795,074 = 795,074/x
  3. Step 3: Cross multiply
    363,679x = 795,074 × 795,074
  4. Step 4: Simplify right side
    363,679x = 632,142,665,476
  5. Step 5: Solve for x
    x = 632,142,665,476/363,679
  6. Step 6: Final answer
    x = 1,738,188.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.