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Finding the Third Proportional to 224,875 and 483,098

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Solution

The third proportional to 224,875 and 483,098 is: 1,037,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,875 : 483,098 = 483,098 : x
  2. Step 2: Convert to fraction form
    224,875/483,098 = 483,098/x
  3. Step 3: Cross multiply
    224,875x = 483,098 × 483,098
  4. Step 4: Simplify right side
    224,875x = 233,383,677,604
  5. Step 5: Solve for x
    x = 233,383,677,604/224,875
  6. Step 6: Final answer
    x = 1,037,837.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.