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Finding the Third Proportional to 297,826 and 637,204

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Solution

The third proportional to 297,826 and 637,204 is: 1,363,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,826 : 637,204 = 637,204 : x
  2. Step 2: Convert to fraction form
    297,826/637,204 = 637,204/x
  3. Step 3: Cross multiply
    297,826x = 637,204 × 637,204
  4. Step 4: Simplify right side
    297,826x = 406,028,937,616
  5. Step 5: Solve for x
    x = 406,028,937,616/297,826
  6. Step 6: Final answer
    x = 1,363,309.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.