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Finding the Third Proportional to 224,736 and 486,974

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Solution

The third proportional to 224,736 and 486,974 is: 1,055,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,736 : 486,974 = 486,974 : x
  2. Step 2: Convert to fraction form
    224,736/486,974 = 486,974/x
  3. Step 3: Cross multiply
    224,736x = 486,974 × 486,974
  4. Step 4: Simplify right side
    224,736x = 237,143,676,676
  5. Step 5: Solve for x
    x = 237,143,676,676/224,736
  6. Step 6: Final answer
    x = 1,055,210.01

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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.