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Finding the Third Proportional to 457,714.50 and 996,795

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Solution

The third proportional to 457,714.50 and 996,795 is: 2,170,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,714.50 : 996,795 = 996,795 : x
  2. Step 2: Convert to fraction form
    457,714.50/996,795 = 996,795/x
  3. Step 3: Cross multiply
    457,714.50x = 996,795 × 996,795
  4. Step 4: Simplify right side
    457,714.50x = 993,600,272,025
  5. Step 5: Solve for x
    x = 993,600,272,025/457,714.50
  6. Step 6: Final answer
    x = 2,170,786.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.