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Finding the Third Proportional to 222,034 and 488,355

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Solution

The third proportional to 222,034 and 488,355 is: 1,074,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,034 : 488,355 = 488,355 : x
  2. Step 2: Convert to fraction form
    222,034/488,355 = 488,355/x
  3. Step 3: Cross multiply
    222,034x = 488,355 × 488,355
  4. Step 4: Simplify right side
    222,034x = 238,490,606,025
  5. Step 5: Solve for x
    x = 238,490,606,025/222,034
  6. Step 6: Final answer
    x = 1,074,117.50

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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.