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Finding the Third Proportional to 301,474 and 663,669

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Solution

The third proportional to 301,474 and 663,669 is: 1,461,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,474 : 663,669 = 663,669 : x
  2. Step 2: Convert to fraction form
    301,474/663,669 = 663,669/x
  3. Step 3: Cross multiply
    301,474x = 663,669 × 663,669
  4. Step 4: Simplify right side
    301,474x = 440,456,541,561
  5. Step 5: Solve for x
    x = 440,456,541,561/301,474
  6. Step 6: Final answer
    x = 1,461,010.04

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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.