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Finding the Third Proportional to 340,636 and 740,744

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Solution

The third proportional to 340,636 and 740,744 is: 1,610,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,636 : 740,744 = 740,744 : x
  2. Step 2: Convert to fraction form
    340,636/740,744 = 740,744/x
  3. Step 3: Cross multiply
    340,636x = 740,744 × 740,744
  4. Step 4: Simplify right side
    340,636x = 548,701,673,536
  5. Step 5: Solve for x
    x = 548,701,673,536/340,636
  6. Step 6: Final answer
    x = 1,610,815.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.