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Finding the Third Proportional to 222,564 and 471,615

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Solution

The third proportional to 222,564 and 471,615 is: 999,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,564 : 471,615 = 471,615 : x
  2. Step 2: Convert to fraction form
    222,564/471,615 = 471,615/x
  3. Step 3: Cross multiply
    222,564x = 471,615 × 471,615
  4. Step 4: Simplify right side
    222,564x = 222,420,708,225
  5. Step 5: Solve for x
    x = 222,420,708,225/222,564
  6. Step 6: Final answer
    x = 999,356.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.