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Finding the Third Proportional to 415,942.50 and 851,599.50

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Solution

The third proportional to 415,942.50 and 851,599.50 is: 1,743,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,942.50 : 851,599.50 = 851,599.50 : x
  2. Step 2: Convert to fraction form
    415,942.50/851,599.50 = 851,599.50/x
  3. Step 3: Cross multiply
    415,942.50x = 851,599.50 × 851,599.50
  4. Step 4: Simplify right side
    415,942.50x = 725,221,708,400.25
  5. Step 5: Solve for x
    x = 725,221,708,400.25/415,942.50
  6. Step 6: Final answer
    x = 1,743,562.41

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Why These Related Problems?

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