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Finding the Third Proportional to 224,451.19 and 484,512

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Solution

The third proportional to 224,451.19 and 484,512 is: 1,045,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,451.19 : 484,512 = 484,512 : x
  2. Step 2: Convert to fraction form
    224,451.19/484,512 = 484,512/x
  3. Step 3: Cross multiply
    224,451.19x = 484,512 × 484,512
  4. Step 4: Simplify right side
    224,451.19x = 234,751,878,144
  5. Step 5: Solve for x
    x = 234,751,878,144/224,451.19
  6. Step 6: Final answer
    x = 1,045,892.79

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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.