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Finding the Third Proportional to 344,655 and 744,653.25

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Solution

The third proportional to 344,655 and 744,653.25 is: 1,608,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,655 : 744,653.25 = 744,653.25 : x
  2. Step 2: Convert to fraction form
    344,655/744,653.25 = 744,653.25/x
  3. Step 3: Cross multiply
    344,655x = 744,653.25 × 744,653.25
  4. Step 4: Simplify right side
    344,655x = 554,508,462,735.56
  5. Step 5: Solve for x
    x = 554,508,462,735.56/344,655
  6. Step 6: Final answer
    x = 1,608,879.79

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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.