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Finding the Third Proportional to 222,537 and 460,626

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Solution

The third proportional to 222,537 and 460,626 is: 953,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,537 : 460,626 = 460,626 : x
  2. Step 2: Convert to fraction form
    222,537/460,626 = 460,626/x
  3. Step 3: Cross multiply
    222,537x = 460,626 × 460,626
  4. Step 4: Simplify right side
    222,537x = 212,176,311,876
  5. Step 5: Solve for x
    x = 212,176,311,876/222,537
  6. Step 6: Final answer
    x = 953,442.85

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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.