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Finding the Third Proportional to 222,438 and 460,656

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Solution

The third proportional to 222,438 and 460,656 is: 953,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,438 : 460,656 = 460,656 : x
  2. Step 2: Convert to fraction form
    222,438/460,656 = 460,656/x
  3. Step 3: Cross multiply
    222,438x = 460,656 × 460,656
  4. Step 4: Simplify right side
    222,438x = 212,203,950,336
  5. Step 5: Solve for x
    x = 212,203,950,336/222,438
  6. Step 6: Final answer
    x = 953,991.45

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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.