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Finding the Third Proportional to 246,120 and 379,568

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Solution

The third proportional to 246,120 and 379,568 is: 585,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,120 : 379,568 = 379,568 : x
  2. Step 2: Convert to fraction form
    246,120/379,568 = 379,568/x
  3. Step 3: Cross multiply
    246,120x = 379,568 × 379,568
  4. Step 4: Simplify right side
    246,120x = 144,071,866,624
  5. Step 5: Solve for x
    x = 144,071,866,624/246,120
  6. Step 6: Final answer
    x = 585,372.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.