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Finding the Third Proportional to 379,714.50 and 534,043.13

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Solution

The third proportional to 379,714.50 and 534,043.13 is: 751,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,714.50 : 534,043.13 = 534,043.13 : x
  2. Step 2: Convert to fraction form
    379,714.50/534,043.13 = 534,043.13/x
  3. Step 3: Cross multiply
    379,714.50x = 534,043.13 × 534,043.13
  4. Step 4: Simplify right side
    379,714.50x = 285,202,059,359.77
  5. Step 5: Solve for x
    x = 285,202,059,359.77/379,714.50
  6. Step 6: Final answer
    x = 751,096.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.