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Finding the Third Proportional to 302,022 and 629,721

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Solution

The third proportional to 302,022 and 629,721 is: 1,312,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,022 : 629,721 = 629,721 : x
  2. Step 2: Convert to fraction form
    302,022/629,721 = 629,721/x
  3. Step 3: Cross multiply
    302,022x = 629,721 × 629,721
  4. Step 4: Simplify right side
    302,022x = 396,548,537,841
  5. Step 5: Solve for x
    x = 396,548,537,841/302,022
  6. Step 6: Final answer
    x = 1,312,978.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.