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Finding the Third Proportional to 264,660 and 576,900

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Solution

The third proportional to 264,660 and 576,900 is: 1,257,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,660 : 576,900 = 576,900 : x
  2. Step 2: Convert to fraction form
    264,660/576,900 = 576,900/x
  3. Step 3: Cross multiply
    264,660x = 576,900 × 576,900
  4. Step 4: Simplify right side
    264,660x = 332,813,610,000
  5. Step 5: Solve for x
    x = 332,813,610,000/264,660
  6. Step 6: Final answer
    x = 1,257,513.83

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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.