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Finding the Third Proportional to 226,188 and 470,989

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Solution

The third proportional to 226,188 and 470,989 is: 980,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,188 : 470,989 = 470,989 : x
  2. Step 2: Convert to fraction form
    226,188/470,989 = 470,989/x
  3. Step 3: Cross multiply
    226,188x = 470,989 × 470,989
  4. Step 4: Simplify right side
    226,188x = 221,830,638,121
  5. Step 5: Solve for x
    x = 221,830,638,121/226,188
  6. Step 6: Final answer
    x = 980,735.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.