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Finding the Third Proportional to 228,731 and 501,769

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Solution

The third proportional to 228,731 and 501,769 is: 1,100,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,731 : 501,769 = 501,769 : x
  2. Step 2: Convert to fraction form
    228,731/501,769 = 501,769/x
  3. Step 3: Cross multiply
    228,731x = 501,769 × 501,769
  4. Step 4: Simplify right side
    228,731x = 251,772,129,361
  5. Step 5: Solve for x
    x = 251,772,129,361/228,731
  6. Step 6: Final answer
    x = 1,100,734.62

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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.