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Finding the Third Proportional to 234,769.50 and 488,995

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Solution

The third proportional to 234,769.50 and 488,995 is: 1,018,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,769.50 : 488,995 = 488,995 : x
  2. Step 2: Convert to fraction form
    234,769.50/488,995 = 488,995/x
  3. Step 3: Cross multiply
    234,769.50x = 488,995 × 488,995
  4. Step 4: Simplify right side
    234,769.50x = 239,116,110,025
  5. Step 5: Solve for x
    x = 239,116,110,025/234,769.50
  6. Step 6: Final answer
    x = 1,018,514.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.