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Finding the Third Proportional to 222,346 and 488,974

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Solution

The third proportional to 222,346 and 488,974 is: 1,075,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,346 : 488,974 = 488,974 : x
  2. Step 2: Convert to fraction form
    222,346/488,974 = 488,974/x
  3. Step 3: Cross multiply
    222,346x = 488,974 × 488,974
  4. Step 4: Simplify right side
    222,346x = 239,095,572,676
  5. Step 5: Solve for x
    x = 239,095,572,676/222,346
  6. Step 6: Final answer
    x = 1,075,331.12

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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.