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Finding the Third Proportional to 288,104 and 622,369

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Solution

The third proportional to 288,104 and 622,369 is: 1,344,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,104 : 622,369 = 622,369 : x
  2. Step 2: Convert to fraction form
    288,104/622,369 = 622,369/x
  3. Step 3: Cross multiply
    288,104x = 622,369 × 622,369
  4. Step 4: Simplify right side
    288,104x = 387,343,172,161
  5. Step 5: Solve for x
    x = 387,343,172,161/288,104
  6. Step 6: Final answer
    x = 1,344,456.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.