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Finding the Third Proportional to 222,073 and 488,433

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Solution

The third proportional to 222,073 and 488,433 is: 1,074,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,073 : 488,433 = 488,433 : x
  2. Step 2: Convert to fraction form
    222,073/488,433 = 488,433/x
  3. Step 3: Cross multiply
    222,073x = 488,433 × 488,433
  4. Step 4: Simplify right side
    222,073x = 238,566,795,489
  5. Step 5: Solve for x
    x = 238,566,795,489/222,073
  6. Step 6: Final answer
    x = 1,074,271.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.