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Finding the Third Proportional to 246,132 and 536,728

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Solution

The third proportional to 246,132 and 536,728 is: 1,170,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,132 : 536,728 = 536,728 : x
  2. Step 2: Convert to fraction form
    246,132/536,728 = 536,728/x
  3. Step 3: Cross multiply
    246,132x = 536,728 × 536,728
  4. Step 4: Simplify right side
    246,132x = 288,076,945,984
  5. Step 5: Solve for x
    x = 288,076,945,984/246,132
  6. Step 6: Final answer
    x = 1,170,416.47

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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.