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Finding the Third Proportional to 232,008 and 488,912

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Solution

The third proportional to 232,008 and 488,912 is: 1,030,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,008 : 488,912 = 488,912 : x
  2. Step 2: Convert to fraction form
    232,008/488,912 = 488,912/x
  3. Step 3: Cross multiply
    232,008x = 488,912 × 488,912
  4. Step 4: Simplify right side
    232,008x = 239,034,943,744
  5. Step 5: Solve for x
    x = 239,034,943,744/232,008
  6. Step 6: Final answer
    x = 1,030,287.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.