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Finding the Third Proportional to 264,744 and 576,132

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Solution

The third proportional to 264,744 and 576,132 is: 1,253,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,744 : 576,132 = 576,132 : x
  2. Step 2: Convert to fraction form
    264,744/576,132 = 576,132/x
  3. Step 3: Cross multiply
    264,744x = 576,132 × 576,132
  4. Step 4: Simplify right side
    264,744x = 331,928,081,424
  5. Step 5: Solve for x
    x = 331,928,081,424/264,744
  6. Step 6: Final answer
    x = 1,253,769.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.