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Finding the Third Proportional to 216,588 and 324,882

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Solution

The third proportional to 216,588 and 324,882 is: 487,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,588 : 324,882 = 324,882 : x
  2. Step 2: Convert to fraction form
    216,588/324,882 = 324,882/x
  3. Step 3: Cross multiply
    216,588x = 324,882 × 324,882
  4. Step 4: Simplify right side
    216,588x = 105,548,313,924
  5. Step 5: Solve for x
    x = 105,548,313,924/216,588
  6. Step 6: Final answer
    x = 487,323

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.