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Finding the Third Proportional to 321,482 and 691,351

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Solution

The third proportional to 321,482 and 691,351 is: 1,486,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,482 : 691,351 = 691,351 : x
  2. Step 2: Convert to fraction form
    321,482/691,351 = 691,351/x
  3. Step 3: Cross multiply
    321,482x = 691,351 × 691,351
  4. Step 4: Simplify right side
    321,482x = 477,966,205,201
  5. Step 5: Solve for x
    x = 477,966,205,201/321,482
  6. Step 6: Final answer
    x = 1,486,758.84

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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.