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Finding the Third Proportional to 322,244 and 691,160

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Solution

The third proportional to 322,244 and 691,160 is: 1,482,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,244 : 691,160 = 691,160 : x
  2. Step 2: Convert to fraction form
    322,244/691,160 = 691,160/x
  3. Step 3: Cross multiply
    322,244x = 691,160 × 691,160
  4. Step 4: Simplify right side
    322,244x = 477,702,145,600
  5. Step 5: Solve for x
    x = 477,702,145,600/322,244
  6. Step 6: Final answer
    x = 1,482,423.71

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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.