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Finding the Third Proportional to 229,481.50 and 497,087

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Solution

The third proportional to 229,481.50 and 497,087 is: 1,076,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,481.50 : 497,087 = 497,087 : x
  2. Step 2: Convert to fraction form
    229,481.50/497,087 = 497,087/x
  3. Step 3: Cross multiply
    229,481.50x = 497,087 × 497,087
  4. Step 4: Simplify right side
    229,481.50x = 247,095,485,569
  5. Step 5: Solve for x
    x = 247,095,485,569/229,481.50
  6. Step 6: Final answer
    x = 1,076,755.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.