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Finding the Third Proportional to 288,167 and 463,004

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Solution

The third proportional to 288,167 and 463,004 is: 743,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,167 : 463,004 = 463,004 : x
  2. Step 2: Convert to fraction form
    288,167/463,004 = 463,004/x
  3. Step 3: Cross multiply
    288,167x = 463,004 × 463,004
  4. Step 4: Simplify right side
    288,167x = 214,372,704,016
  5. Step 5: Solve for x
    x = 214,372,704,016/288,167
  6. Step 6: Final answer
    x = 743,918.30

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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.