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Finding the Third Proportional to 351,013.50 and 496,654.03

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Solution

The third proportional to 351,013.50 and 496,654.03 is: 702,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,013.50 : 496,654.03 = 496,654.03 : x
  2. Step 2: Convert to fraction form
    351,013.50/496,654.03 = 496,654.03/x
  3. Step 3: Cross multiply
    351,013.50x = 496,654.03 × 496,654.03
  4. Step 4: Simplify right side
    351,013.50x = 246,665,226,756.88
  5. Step 5: Solve for x
    x = 246,665,226,756.88/351,013.50
  6. Step 6: Final answer
    x = 702,722.91

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