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Finding the Third Proportional to 415,933.50 and 851,535

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Solution

The third proportional to 415,933.50 and 851,535 is: 1,743,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,933.50 : 851,535 = 851,535 : x
  2. Step 2: Convert to fraction form
    415,933.50/851,535 = 851,535/x
  3. Step 3: Cross multiply
    415,933.50x = 851,535 × 851,535
  4. Step 4: Simplify right side
    415,933.50x = 725,111,856,225
  5. Step 5: Solve for x
    x = 725,111,856,225/415,933.50
  6. Step 6: Final answer
    x = 1,743,336.03

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.