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Finding the Third Proportional to 228,625.50 and 502,500

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Solution

The third proportional to 228,625.50 and 502,500 is: 1,104,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,625.50 : 502,500 = 502,500 : x
  2. Step 2: Convert to fraction form
    228,625.50/502,500 = 502,500/x
  3. Step 3: Cross multiply
    228,625.50x = 502,500 × 502,500
  4. Step 4: Simplify right side
    228,625.50x = 252,506,250,000
  5. Step 5: Solve for x
    x = 252,506,250,000/228,625.50
  6. Step 6: Final answer
    x = 1,104,453.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.