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Finding the Third Proportional to 228,033 and 485,595

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Solution

The third proportional to 228,033 and 485,595 is: 1,034,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,033 : 485,595 = 485,595 : x
  2. Step 2: Convert to fraction form
    228,033/485,595 = 485,595/x
  3. Step 3: Cross multiply
    228,033x = 485,595 × 485,595
  4. Step 4: Simplify right side
    228,033x = 235,802,504,025
  5. Step 5: Solve for x
    x = 235,802,504,025/228,033
  6. Step 6: Final answer
    x = 1,034,071.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.