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Finding the Third Proportional to 223,887 and 490,299

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Solution

The third proportional to 223,887 and 490,299 is: 1,073,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,887 : 490,299 = 490,299 : x
  2. Step 2: Convert to fraction form
    223,887/490,299 = 490,299/x
  3. Step 3: Cross multiply
    223,887x = 490,299 × 490,299
  4. Step 4: Simplify right side
    223,887x = 240,393,109,401
  5. Step 5: Solve for x
    x = 240,393,109,401/223,887
  6. Step 6: Final answer
    x = 1,073,725.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.