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Finding the Third Proportional to 200,717 and 440,798

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Solution

The third proportional to 200,717 and 440,798 is: 968,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717 : 440,798 = 440,798 : x
  2. Step 2: Convert to fraction form
    200,717/440,798 = 440,798/x
  3. Step 3: Cross multiply
    200,717x = 440,798 × 440,798
  4. Step 4: Simplify right side
    200,717x = 194,302,876,804
  5. Step 5: Solve for x
    x = 194,302,876,804/200,717
  6. Step 6: Final answer
    x = 968,043.95

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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.