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Finding the Third Proportional to 335,115 and 729,199.50

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Solution

The third proportional to 335,115 and 729,199.50 is: 1,586,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,115 : 729,199.50 = 729,199.50 : x
  2. Step 2: Convert to fraction form
    335,115/729,199.50 = 729,199.50/x
  3. Step 3: Cross multiply
    335,115x = 729,199.50 × 729,199.50
  4. Step 4: Simplify right side
    335,115x = 531,731,910,800.25
  5. Step 5: Solve for x
    x = 531,731,910,800.25/335,115
  6. Step 6: Final answer
    x = 1,586,714.74

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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.