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Finding the Third Proportional to 228,366 and 324,585

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Solution

The third proportional to 228,366 and 324,585 is: 461,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,366 : 324,585 = 324,585 : x
  2. Step 2: Convert to fraction form
    228,366/324,585 = 324,585/x
  3. Step 3: Cross multiply
    228,366x = 324,585 × 324,585
  4. Step 4: Simplify right side
    228,366x = 105,355,422,225
  5. Step 5: Solve for x
    x = 105,355,422,225/228,366
  6. Step 6: Final answer
    x = 461,344.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.