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Finding the Third Proportional to 344,976 and 754,077

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Solution

The third proportional to 344,976 and 754,077 is: 1,648,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,976 : 754,077 = 754,077 : x
  2. Step 2: Convert to fraction form
    344,976/754,077 = 754,077/x
  3. Step 3: Cross multiply
    344,976x = 754,077 × 754,077
  4. Step 4: Simplify right side
    344,976x = 568,632,121,929
  5. Step 5: Solve for x
    x = 568,632,121,929/344,976
  6. Step 6: Final answer
    x = 1,648,323.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.