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Finding the Third Proportional to 228,736 and 501,778

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Solution

The third proportional to 228,736 and 501,778 is: 1,100,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,736 : 501,778 = 501,778 : x
  2. Step 2: Convert to fraction form
    228,736/501,778 = 501,778/x
  3. Step 3: Cross multiply
    228,736x = 501,778 × 501,778
  4. Step 4: Simplify right side
    228,736x = 251,781,161,284
  5. Step 5: Solve for x
    x = 251,781,161,284/228,736
  6. Step 6: Final answer
    x = 1,100,750.04

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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.