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Finding the Third Proportional to 200,852 and 445,768

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Solution

The third proportional to 200,852 and 445,768 is: 989,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,852 : 445,768 = 445,768 : x
  2. Step 2: Convert to fraction form
    200,852/445,768 = 445,768/x
  3. Step 3: Cross multiply
    200,852x = 445,768 × 445,768
  4. Step 4: Simplify right side
    200,852x = 198,709,109,824
  5. Step 5: Solve for x
    x = 198,709,109,824/200,852
  6. Step 6: Final answer
    x = 989,331.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.