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Finding the Third Proportional to 319,728 and 648,420

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Solution

The third proportional to 319,728 and 648,420 is: 1,315,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,728 : 648,420 = 648,420 : x
  2. Step 2: Convert to fraction form
    319,728/648,420 = 648,420/x
  3. Step 3: Cross multiply
    319,728x = 648,420 × 648,420
  4. Step 4: Simplify right side
    319,728x = 420,448,496,400
  5. Step 5: Solve for x
    x = 420,448,496,400/319,728
  6. Step 6: Final answer
    x = 1,315,019.32

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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.