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Finding the Third Proportional to 224,770 and 482,588

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Solution

The third proportional to 224,770 and 482,588 is: 1,036,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,770 : 482,588 = 482,588 : x
  2. Step 2: Convert to fraction form
    224,770/482,588 = 482,588/x
  3. Step 3: Cross multiply
    224,770x = 482,588 × 482,588
  4. Step 4: Simplify right side
    224,770x = 232,891,177,744
  5. Step 5: Solve for x
    x = 232,891,177,744/224,770
  6. Step 6: Final answer
    x = 1,036,131.06

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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.