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Finding the Third Proportional to 404,265 and 820,409.25

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Solution

The third proportional to 404,265 and 820,409.25 is: 1,664,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,265 : 820,409.25 = 820,409.25 : x
  2. Step 2: Convert to fraction form
    404,265/820,409.25 = 820,409.25/x
  3. Step 3: Cross multiply
    404,265x = 820,409.25 × 820,409.25
  4. Step 4: Simplify right side
    404,265x = 673,071,337,485.56
  5. Step 5: Solve for x
    x = 673,071,337,485.56/404,265
  6. Step 6: Final answer
    x = 1,664,926.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.