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Finding the Third Proportional to 311,556 and 466,806

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Solution

The third proportional to 311,556 and 466,806 is: 699,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,556 : 466,806 = 466,806 : x
  2. Step 2: Convert to fraction form
    311,556/466,806 = 466,806/x
  3. Step 3: Cross multiply
    311,556x = 466,806 × 466,806
  4. Step 4: Simplify right side
    311,556x = 217,907,841,636
  5. Step 5: Solve for x
    x = 217,907,841,636/311,556
  6. Step 6: Final answer
    x = 699,417.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.