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Finding the Third Proportional to 404,230.50 and 857,749.50

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Solution

The third proportional to 404,230.50 and 857,749.50 is: 1,820,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,230.50 : 857,749.50 = 857,749.50 : x
  2. Step 2: Convert to fraction form
    404,230.50/857,749.50 = 857,749.50/x
  3. Step 3: Cross multiply
    404,230.50x = 857,749.50 × 857,749.50
  4. Step 4: Simplify right side
    404,230.50x = 735,734,204,750.25
  5. Step 5: Solve for x
    x = 735,734,204,750.25/404,230.50
  6. Step 6: Final answer
    x = 1,820,085.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.