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Finding the Third Proportional to 246,121 and 536,710

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Solution

The third proportional to 246,121 and 536,710 is: 1,170,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,121 : 536,710 = 536,710 : x
  2. Step 2: Convert to fraction form
    246,121/536,710 = 536,710/x
  3. Step 3: Cross multiply
    246,121x = 536,710 × 536,710
  4. Step 4: Simplify right side
    246,121x = 288,057,624,100
  5. Step 5: Solve for x
    x = 288,057,624,100/246,121
  6. Step 6: Final answer
    x = 1,170,390.27

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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.