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Finding the Third Proportional to 216,596 and 324,894

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Solution

The third proportional to 216,596 and 324,894 is: 487,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,596 : 324,894 = 324,894 : x
  2. Step 2: Convert to fraction form
    216,596/324,894 = 324,894/x
  3. Step 3: Cross multiply
    216,596x = 324,894 × 324,894
  4. Step 4: Simplify right side
    216,596x = 105,556,111,236
  5. Step 5: Solve for x
    x = 105,556,111,236/216,596
  6. Step 6: Final answer
    x = 487,341

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Why These Related Problems?

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