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Finding the Third Proportional to 228,630 and 500,847

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Solution

The third proportional to 228,630 and 500,847 is: 1,097,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,630 : 500,847 = 500,847 : x
  2. Step 2: Convert to fraction form
    228,630/500,847 = 500,847/x
  3. Step 3: Cross multiply
    228,630x = 500,847 × 500,847
  4. Step 4: Simplify right side
    228,630x = 250,847,717,409
  5. Step 5: Solve for x
    x = 250,847,717,409/228,630
  6. Step 6: Final answer
    x = 1,097,177.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.