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Finding the Third Proportional to 479,616 and 703,872

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Solution

The third proportional to 479,616 and 703,872 is: 1,032,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,616 : 703,872 = 703,872 : x
  2. Step 2: Convert to fraction form
    479,616/703,872 = 703,872/x
  3. Step 3: Cross multiply
    479,616x = 703,872 × 703,872
  4. Step 4: Simplify right side
    479,616x = 495,435,792,384
  5. Step 5: Solve for x
    x = 495,435,792,384/479,616
  6. Step 6: Final answer
    x = 1,032,984.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.