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Finding the Third Proportional to 321,483 and 691,354

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Solution

The third proportional to 321,483 and 691,354 is: 1,486,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,483 : 691,354 = 691,354 : x
  2. Step 2: Convert to fraction form
    321,483/691,354 = 691,354/x
  3. Step 3: Cross multiply
    321,483x = 691,354 × 691,354
  4. Step 4: Simplify right side
    321,483x = 477,970,353,316
  5. Step 5: Solve for x
    x = 477,970,353,316/321,483
  6. Step 6: Final answer
    x = 1,486,767.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.