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Finding the Third Proportional to 301,363.88 and 662,991.75

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Solution

The third proportional to 301,363.88 and 662,991.75 is: 1,458,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,363.88 : 662,991.75 = 662,991.75 : x
  2. Step 2: Convert to fraction form
    301,363.88/662,991.75 = 662,991.75/x
  3. Step 3: Cross multiply
    301,363.88x = 662,991.75 × 662,991.75
  4. Step 4: Simplify right side
    301,363.88x = 439,558,060,568.06
  5. Step 5: Solve for x
    x = 439,558,060,568.06/301,363.88
  6. Step 6: Final answer
    x = 1,458,562.55

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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.