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Finding the Third Proportional to 222,347 and 488,976

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Solution

The third proportional to 222,347 and 488,976 is: 1,075,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,347 : 488,976 = 488,976 : x
  2. Step 2: Convert to fraction form
    222,347/488,976 = 488,976/x
  3. Step 3: Cross multiply
    222,347x = 488,976 × 488,976
  4. Step 4: Simplify right side
    222,347x = 239,097,528,576
  5. Step 5: Solve for x
    x = 239,097,528,576/222,347
  6. Step 6: Final answer
    x = 1,075,335.08

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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.