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Finding the Third Proportional to 344,108.25 and 743,580

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Solution

The third proportional to 344,108.25 and 743,580 is: 1,606,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,108.25 : 743,580 = 743,580 : x
  2. Step 2: Convert to fraction form
    344,108.25/743,580 = 743,580/x
  3. Step 3: Cross multiply
    344,108.25x = 743,580 × 743,580
  4. Step 4: Simplify right side
    344,108.25x = 552,911,216,400
  5. Step 5: Solve for x
    x = 552,911,216,400/344,108.25
  6. Step 6: Final answer
    x = 1,606,794.42

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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.