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Finding the Third Proportional to 348,144 and 469,728

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Solution

The third proportional to 348,144 and 469,728 is: 633,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,144 : 469,728 = 469,728 : x
  2. Step 2: Convert to fraction form
    348,144/469,728 = 469,728/x
  3. Step 3: Cross multiply
    348,144x = 469,728 × 469,728
  4. Step 4: Simplify right side
    348,144x = 220,644,393,984
  5. Step 5: Solve for x
    x = 220,644,393,984/348,144
  6. Step 6: Final answer
    x = 633,773.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.