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Finding the Third Proportional to 331,714 and 499,236

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Solution

The third proportional to 331,714 and 499,236 is: 751,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,714 : 499,236 = 499,236 : x
  2. Step 2: Convert to fraction form
    331,714/499,236 = 499,236/x
  3. Step 3: Cross multiply
    331,714x = 499,236 × 499,236
  4. Step 4: Simplify right side
    331,714x = 249,236,583,696
  5. Step 5: Solve for x
    x = 249,236,583,696/331,714
  6. Step 6: Final answer
    x = 751,359.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.