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Finding the Third Proportional to 224,744 and 482,842

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Solution

The third proportional to 224,744 and 482,842 is: 1,037,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,744 : 482,842 = 482,842 : x
  2. Step 2: Convert to fraction form
    224,744/482,842 = 482,842/x
  3. Step 3: Cross multiply
    224,744x = 482,842 × 482,842
  4. Step 4: Simplify right side
    224,744x = 233,136,396,964
  5. Step 5: Solve for x
    x = 233,136,396,964/224,744
  6. Step 6: Final answer
    x = 1,037,342.03

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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.