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Finding the Third Proportional to 207,844.50 and 448,899

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Solution

The third proportional to 207,844.50 and 448,899 is: 969,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844.50 : 448,899 = 448,899 : x
  2. Step 2: Convert to fraction form
    207,844.50/448,899 = 448,899/x
  3. Step 3: Cross multiply
    207,844.50x = 448,899 × 448,899
  4. Step 4: Simplify right side
    207,844.50x = 201,510,312,201
  5. Step 5: Solve for x
    x = 201,510,312,201/207,844.50
  6. Step 6: Final answer
    x = 969,524.39

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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.