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Finding the Third Proportional to 341,300 and 744,806

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Solution

The third proportional to 341,300 and 744,806 is: 1,625,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,300 : 744,806 = 744,806 : x
  2. Step 2: Convert to fraction form
    341,300/744,806 = 744,806/x
  3. Step 3: Cross multiply
    341,300x = 744,806 × 744,806
  4. Step 4: Simplify right side
    341,300x = 554,735,977,636
  5. Step 5: Solve for x
    x = 554,735,977,636/341,300
  6. Step 6: Final answer
    x = 1,625,361.79

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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.