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Finding the Third Proportional to 288,171 and 463,011

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Solution

The third proportional to 288,171 and 463,011 is: 743,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,171 : 463,011 = 463,011 : x
  2. Step 2: Convert to fraction form
    288,171/463,011 = 463,011/x
  3. Step 3: Cross multiply
    288,171x = 463,011 × 463,011
  4. Step 4: Simplify right side
    288,171x = 214,379,186,121
  5. Step 5: Solve for x
    x = 214,379,186,121/288,171
  6. Step 6: Final answer
    x = 743,930.47

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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.