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Finding the Third Proportional to 226,257 and 446,803

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Solution

The third proportional to 226,257 and 446,803 is: 882,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,257 : 446,803 = 446,803 : x
  2. Step 2: Convert to fraction form
    226,257/446,803 = 446,803/x
  3. Step 3: Cross multiply
    226,257x = 446,803 × 446,803
  4. Step 4: Simplify right side
    226,257x = 199,632,920,809
  5. Step 5: Solve for x
    x = 199,632,920,809/226,257
  6. Step 6: Final answer
    x = 882,328.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.