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Finding the Third Proportional to 302,933 and 637,204

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Solution

The third proportional to 302,933 and 637,204 is: 1,340,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,933 : 637,204 = 637,204 : x
  2. Step 2: Convert to fraction form
    302,933/637,204 = 637,204/x
  3. Step 3: Cross multiply
    302,933x = 637,204 × 637,204
  4. Step 4: Simplify right side
    302,933x = 406,028,937,616
  5. Step 5: Solve for x
    x = 406,028,937,616/302,933
  6. Step 6: Final answer
    x = 1,340,325.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.