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Finding the Third Proportional to 322,281 and 691,194

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Solution

The third proportional to 322,281 and 691,194 is: 1,482,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,281 : 691,194 = 691,194 : x
  2. Step 2: Convert to fraction form
    322,281/691,194 = 691,194/x
  3. Step 3: Cross multiply
    322,281x = 691,194 × 691,194
  4. Step 4: Simplify right side
    322,281x = 477,749,145,636
  5. Step 5: Solve for x
    x = 477,749,145,636/322,281
  6. Step 6: Final answer
    x = 1,482,399.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.