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Finding the Third Proportional to 305,541 and 671,994

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Solution

The third proportional to 305,541 and 671,994 is: 1,477,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,541 : 671,994 = 671,994 : x
  2. Step 2: Convert to fraction form
    305,541/671,994 = 671,994/x
  3. Step 3: Cross multiply
    305,541x = 671,994 × 671,994
  4. Step 4: Simplify right side
    305,541x = 451,575,936,036
  5. Step 5: Solve for x
    x = 451,575,936,036/305,541
  6. Step 6: Final answer
    x = 1,477,955.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.