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Finding the Third Proportional to 226,804 and 488,275

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Solution

The third proportional to 226,804 and 488,275 is: 1,051,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,804 : 488,275 = 488,275 : x
  2. Step 2: Convert to fraction form
    226,804/488,275 = 488,275/x
  3. Step 3: Cross multiply
    226,804x = 488,275 × 488,275
  4. Step 4: Simplify right side
    226,804x = 238,412,475,625
  5. Step 5: Solve for x
    x = 238,412,475,625/226,804
  6. Step 6: Final answer
    x = 1,051,182.85

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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.