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Finding the Third Proportional to 288,176 and 463,021

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Solution

The third proportional to 288,176 and 463,021 is: 743,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,176 : 463,021 = 463,021 : x
  2. Step 2: Convert to fraction form
    288,176/463,021 = 463,021/x
  3. Step 3: Cross multiply
    288,176x = 463,021 × 463,021
  4. Step 4: Simplify right side
    288,176x = 214,388,446,441
  5. Step 5: Solve for x
    x = 214,388,446,441/288,176
  6. Step 6: Final answer
    x = 743,949.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.