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Finding the Third Proportional to 320,064 and 697,728

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Solution

The third proportional to 320,064 and 697,728 is: 1,521,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,064 : 697,728 = 697,728 : x
  2. Step 2: Convert to fraction form
    320,064/697,728 = 697,728/x
  3. Step 3: Cross multiply
    320,064x = 697,728 × 697,728
  4. Step 4: Simplify right side
    320,064x = 486,824,361,984
  5. Step 5: Solve for x
    x = 486,824,361,984/320,064
  6. Step 6: Final answer
    x = 1,521,021.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.