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Finding the Third Proportional to 264,675 and 576,932

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Solution

The third proportional to 264,675 and 576,932 is: 1,257,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,675 : 576,932 = 576,932 : x
  2. Step 2: Convert to fraction form
    264,675/576,932 = 576,932/x
  3. Step 3: Cross multiply
    264,675x = 576,932 × 576,932
  4. Step 4: Simplify right side
    264,675x = 332,850,532,624
  5. Step 5: Solve for x
    x = 332,850,532,624/264,675
  6. Step 6: Final answer
    x = 1,257,582.06

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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.