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Finding the Third Proportional to 264,860 and 579,234

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Solution

The third proportional to 264,860 and 579,234 is: 1,266,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,860 : 579,234 = 579,234 : x
  2. Step 2: Convert to fraction form
    264,860/579,234 = 579,234/x
  3. Step 3: Cross multiply
    264,860x = 579,234 × 579,234
  4. Step 4: Simplify right side
    264,860x = 335,512,026,756
  5. Step 5: Solve for x
    x = 335,512,026,756/264,860
  6. Step 6: Final answer
    x = 1,266,752.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.