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Finding the Third Proportional to 448,824.75 and 982,105.50

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Solution

The third proportional to 448,824.75 and 982,105.50 is: 2,149,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,824.75 : 982,105.50 = 982,105.50 : x
  2. Step 2: Convert to fraction form
    448,824.75/982,105.50 = 982,105.50/x
  3. Step 3: Cross multiply
    448,824.75x = 982,105.50 × 982,105.50
  4. Step 4: Simplify right side
    448,824.75x = 964,531,213,130.25
  5. Step 5: Solve for x
    x = 964,531,213,130.25/448,824.75
  6. Step 6: Final answer
    x = 2,149,015.21

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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.