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Finding the Third Proportional to 264,786 and 576,162

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Solution

The third proportional to 264,786 and 576,162 is: 1,253,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,786 : 576,162 = 576,162 : x
  2. Step 2: Convert to fraction form
    264,786/576,162 = 576,162/x
  3. Step 3: Cross multiply
    264,786x = 576,162 × 576,162
  4. Step 4: Simplify right side
    264,786x = 331,962,650,244
  5. Step 5: Solve for x
    x = 331,962,650,244/264,786
  6. Step 6: Final answer
    x = 1,253,701.67

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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.