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Finding the Third Proportional to 204,642 and 443,428

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Solution

The third proportional to 204,642 and 443,428 is: 960,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642 : 443,428 = 443,428 : x
  2. Step 2: Convert to fraction form
    204,642/443,428 = 443,428/x
  3. Step 3: Cross multiply
    204,642x = 443,428 × 443,428
  4. Step 4: Simplify right side
    204,642x = 196,628,391,184
  5. Step 5: Solve for x
    x = 196,628,391,184/204,642
  6. Step 6: Final answer
    x = 960,840.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.