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Finding the Third Proportional to 234,770.50 and 488,997

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Solution

The third proportional to 234,770.50 and 488,997 is: 1,018,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,770.50 : 488,997 = 488,997 : x
  2. Step 2: Convert to fraction form
    234,770.50/488,997 = 488,997/x
  3. Step 3: Cross multiply
    234,770.50x = 488,997 × 488,997
  4. Step 4: Simplify right side
    234,770.50x = 239,118,066,009
  5. Step 5: Solve for x
    x = 239,118,066,009/234,770.50
  6. Step 6: Final answer
    x = 1,018,518.37

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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.