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Finding the Third Proportional to 363,154 and 795,212

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Solution

The third proportional to 363,154 and 795,212 is: 1,741,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,154 : 795,212 = 795,212 : x
  2. Step 2: Convert to fraction form
    363,154/795,212 = 795,212/x
  3. Step 3: Cross multiply
    363,154x = 795,212 × 795,212
  4. Step 4: Simplify right side
    363,154x = 632,362,124,944
  5. Step 5: Solve for x
    x = 632,362,124,944/363,154
  6. Step 6: Final answer
    x = 1,741,305.69

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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.