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Finding the Third Proportional to 222,348 and 488,983.50

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Solution

The third proportional to 222,348 and 488,983.50 is: 1,075,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,348 : 488,983.50 = 488,983.50 : x
  2. Step 2: Convert to fraction form
    222,348/488,983.50 = 488,983.50/x
  3. Step 3: Cross multiply
    222,348x = 488,983.50 × 488,983.50
  4. Step 4: Simplify right side
    222,348x = 239,104,863,272.25
  5. Step 5: Solve for x
    x = 239,104,863,272.25/222,348
  6. Step 6: Final answer
    x = 1,075,363.23

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