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Finding the Third Proportional to 224,799 and 474,690

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Solution

The third proportional to 224,799 and 474,690 is: 1,002,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,799 : 474,690 = 474,690 : x
  2. Step 2: Convert to fraction form
    224,799/474,690 = 474,690/x
  3. Step 3: Cross multiply
    224,799x = 474,690 × 474,690
  4. Step 4: Simplify right side
    224,799x = 225,330,596,100
  5. Step 5: Solve for x
    x = 225,330,596,100/224,799
  6. Step 6: Final answer
    x = 1,002,364.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.