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Finding the Third Proportional to 222,536 and 460,624

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Solution

The third proportional to 222,536 and 460,624 is: 953,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,536 : 460,624 = 460,624 : x
  2. Step 2: Convert to fraction form
    222,536/460,624 = 460,624/x
  3. Step 3: Cross multiply
    222,536x = 460,624 × 460,624
  4. Step 4: Simplify right side
    222,536x = 212,174,469,376
  5. Step 5: Solve for x
    x = 212,174,469,376/222,536
  6. Step 6: Final answer
    x = 953,438.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.