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Finding the Third Proportional to 338,476 and 743,386

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Solution

The third proportional to 338,476 and 743,386 is: 1,632,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,476 : 743,386 = 743,386 : x
  2. Step 2: Convert to fraction form
    338,476/743,386 = 743,386/x
  3. Step 3: Cross multiply
    338,476x = 743,386 × 743,386
  4. Step 4: Simplify right side
    338,476x = 552,622,744,996
  5. Step 5: Solve for x
    x = 552,622,744,996/338,476
  6. Step 6: Final answer
    x = 1,632,679.26

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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.