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Finding the Third Proportional to 200,748 and 441,419

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Solution

The third proportional to 200,748 and 441,419 is: 970,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748 : 441,419 = 441,419 : x
  2. Step 2: Convert to fraction form
    200,748/441,419 = 441,419/x
  3. Step 3: Cross multiply
    200,748x = 441,419 × 441,419
  4. Step 4: Simplify right side
    200,748x = 194,850,733,561
  5. Step 5: Solve for x
    x = 194,850,733,561/200,748
  6. Step 6: Final answer
    x = 970,623.54

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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.