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Finding the Third Proportional to 297,810 and 637,173

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Solution

The third proportional to 297,810 and 637,173 is: 1,363,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,810 : 637,173 = 637,173 : x
  2. Step 2: Convert to fraction form
    297,810/637,173 = 637,173/x
  3. Step 3: Cross multiply
    297,810x = 637,173 × 637,173
  4. Step 4: Simplify right side
    297,810x = 405,989,431,929
  5. Step 5: Solve for x
    x = 405,989,431,929/297,810
  6. Step 6: Final answer
    x = 1,363,249.83

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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.