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Finding the Third Proportional to 227,010 and 488,660

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Solution

The third proportional to 227,010 and 488,660 is: 1,051,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,010 : 488,660 = 488,660 : x
  2. Step 2: Convert to fraction form
    227,010/488,660 = 488,660/x
  3. Step 3: Cross multiply
    227,010x = 488,660 × 488,660
  4. Step 4: Simplify right side
    227,010x = 238,788,595,600
  5. Step 5: Solve for x
    x = 238,788,595,600/227,010
  6. Step 6: Final answer
    x = 1,051,885.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.