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Finding the Third Proportional to 404,825 and 603,957

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Solution

The third proportional to 404,825 and 603,957 is: 901,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,825 : 603,957 = 603,957 : x
  2. Step 2: Convert to fraction form
    404,825/603,957 = 603,957/x
  3. Step 3: Cross multiply
    404,825x = 603,957 × 603,957
  4. Step 4: Simplify right side
    404,825x = 364,764,057,849
  5. Step 5: Solve for x
    x = 364,764,057,849/404,825
  6. Step 6: Final answer
    x = 901,041.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.