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Finding the Third Proportional to 288,189 and 463,032

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Solution

The third proportional to 288,189 and 463,032 is: 743,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,189 : 463,032 = 463,032 : x
  2. Step 2: Convert to fraction form
    288,189/463,032 = 463,032/x
  3. Step 3: Cross multiply
    288,189x = 463,032 × 463,032
  4. Step 4: Simplify right side
    288,189x = 214,398,633,024
  5. Step 5: Solve for x
    x = 214,398,633,024/288,189
  6. Step 6: Final answer
    x = 743,951.48

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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.