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Finding the Third Proportional to 224,586 and 486,549

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Solution

The third proportional to 224,586 and 486,549 is: 1,054,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,586 : 486,549 = 486,549 : x
  2. Step 2: Convert to fraction form
    224,586/486,549 = 486,549/x
  3. Step 3: Cross multiply
    224,586x = 486,549 × 486,549
  4. Step 4: Simplify right side
    224,586x = 236,729,929,401
  5. Step 5: Solve for x
    x = 236,729,929,401/224,586
  6. Step 6: Final answer
    x = 1,054,072.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.