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Finding the Third Proportional to 401,890.50 and 859,050

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Solution

The third proportional to 401,890.50 and 859,050 is: 1,836,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,890.50 : 859,050 = 859,050 : x
  2. Step 2: Convert to fraction form
    401,890.50/859,050 = 859,050/x
  3. Step 3: Cross multiply
    401,890.50x = 859,050 × 859,050
  4. Step 4: Simplify right side
    401,890.50x = 737,966,902,500
  5. Step 5: Solve for x
    x = 737,966,902,500/401,890.50
  6. Step 6: Final answer
    x = 1,836,238.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.