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Finding the Third Proportional to 603,504 and 906,768

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Solution

The third proportional to 603,504 and 906,768 is: 1,362,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,504 : 906,768 = 906,768 : x
  2. Step 2: Convert to fraction form
    603,504/906,768 = 906,768/x
  3. Step 3: Cross multiply
    603,504x = 906,768 × 906,768
  4. Step 4: Simplify right side
    603,504x = 822,228,205,824
  5. Step 5: Solve for x
    x = 822,228,205,824/603,504
  6. Step 6: Final answer
    x = 1,362,423.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.