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Finding the Third Proportional to 224,370 and 490,977

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Solution

The third proportional to 224,370 and 490,977 is: 1,074,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370 : 490,977 = 490,977 : x
  2. Step 2: Convert to fraction form
    224,370/490,977 = 490,977/x
  3. Step 3: Cross multiply
    224,370x = 490,977 × 490,977
  4. Step 4: Simplify right side
    224,370x = 241,058,414,529
  5. Step 5: Solve for x
    x = 241,058,414,529/224,370
  6. Step 6: Final answer
    x = 1,074,378.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.