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Finding the Third Proportional to 344,697 and 744,734

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Solution

The third proportional to 344,697 and 744,734 is: 1,609,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,697 : 744,734 = 744,734 : x
  2. Step 2: Convert to fraction form
    344,697/744,734 = 744,734/x
  3. Step 3: Cross multiply
    344,697x = 744,734 × 744,734
  4. Step 4: Simplify right side
    344,697x = 554,628,730,756
  5. Step 5: Solve for x
    x = 554,628,730,756/344,697
  6. Step 6: Final answer
    x = 1,609,032.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.