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Finding the Third Proportional to 404,353.50 and 862,654.50

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Solution

The third proportional to 404,353.50 and 862,654.50 is: 1,840,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,353.50 : 862,654.50 = 862,654.50 : x
  2. Step 2: Convert to fraction form
    404,353.50/862,654.50 = 862,654.50/x
  3. Step 3: Cross multiply
    404,353.50x = 862,654.50 × 862,654.50
  4. Step 4: Simplify right side
    404,353.50x = 744,172,786,370.25
  5. Step 5: Solve for x
    x = 744,172,786,370.25/404,353.50
  6. Step 6: Final answer
    x = 1,840,401.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.