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Finding the Third Proportional to 226,476 and 488,187

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Solution

The third proportional to 226,476 and 488,187 is: 1,052,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,476 : 488,187 = 488,187 : x
  2. Step 2: Convert to fraction form
    226,476/488,187 = 488,187/x
  3. Step 3: Cross multiply
    226,476x = 488,187 × 488,187
  4. Step 4: Simplify right side
    226,476x = 238,326,546,969
  5. Step 5: Solve for x
    x = 238,326,546,969/226,476
  6. Step 6: Final answer
    x = 1,052,325.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.