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Finding the Third Proportional to 302,024 and 629,725

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Solution

The third proportional to 302,024 and 629,725 is: 1,312,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024 : 629,725 = 629,725 : x
  2. Step 2: Convert to fraction form
    302,024/629,725 = 629,725/x
  3. Step 3: Cross multiply
    302,024x = 629,725 × 629,725
  4. Step 4: Simplify right side
    302,024x = 396,553,575,625
  5. Step 5: Solve for x
    x = 396,553,575,625/302,024
  6. Step 6: Final answer
    x = 1,312,986.97

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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.