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Finding the Third Proportional to 351,914 and 773,806

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Solution

The third proportional to 351,914 and 773,806 is: 1,701,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,914 : 773,806 = 773,806 : x
  2. Step 2: Convert to fraction form
    351,914/773,806 = 773,806/x
  3. Step 3: Cross multiply
    351,914x = 773,806 × 773,806
  4. Step 4: Simplify right side
    351,914x = 598,775,725,636
  5. Step 5: Solve for x
    x = 598,775,725,636/351,914
  6. Step 6: Final answer
    x = 1,701,483.11

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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.