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Finding the Third Proportional to 222,345 and 488,970

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Solution

The third proportional to 222,345 and 488,970 is: 1,075,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,345 : 488,970 = 488,970 : x
  2. Step 2: Convert to fraction form
    222,345/488,970 = 488,970/x
  3. Step 3: Cross multiply
    222,345x = 488,970 × 488,970
  4. Step 4: Simplify right side
    222,345x = 239,091,660,900
  5. Step 5: Solve for x
    x = 239,091,660,900/222,345
  6. Step 6: Final answer
    x = 1,075,318.36

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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.