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Finding the Third Proportional to 229,285.50 and 493,722

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Solution

The third proportional to 229,285.50 and 493,722 is: 1,063,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,285.50 : 493,722 = 493,722 : x
  2. Step 2: Convert to fraction form
    229,285.50/493,722 = 493,722/x
  3. Step 3: Cross multiply
    229,285.50x = 493,722 × 493,722
  4. Step 4: Simplify right side
    229,285.50x = 243,761,413,284
  5. Step 5: Solve for x
    x = 243,761,413,284/229,285.50
  6. Step 6: Final answer
    x = 1,063,134.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.