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Finding the Third Proportional to 264,384 and 581,256

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Solution

The third proportional to 264,384 and 581,256 is: 1,277,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,384 : 581,256 = 581,256 : x
  2. Step 2: Convert to fraction form
    264,384/581,256 = 581,256/x
  3. Step 3: Cross multiply
    264,384x = 581,256 × 581,256
  4. Step 4: Simplify right side
    264,384x = 337,858,537,536
  5. Step 5: Solve for x
    x = 337,858,537,536/264,384
  6. Step 6: Final answer
    x = 1,277,908.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.