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Finding the Third Proportional to 222,984 and 480,960

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Solution

The third proportional to 222,984 and 480,960 is: 1,037,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,984 : 480,960 = 480,960 : x
  2. Step 2: Convert to fraction form
    222,984/480,960 = 480,960/x
  3. Step 3: Cross multiply
    222,984x = 480,960 × 480,960
  4. Step 4: Simplify right side
    222,984x = 231,322,521,600
  5. Step 5: Solve for x
    x = 231,322,521,600/222,984
  6. Step 6: Final answer
    x = 1,037,395.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.