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Finding the Third Proportional to 252,828 and 380,844

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Solution

The third proportional to 252,828 and 380,844 is: 573,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,828 : 380,844 = 380,844 : x
  2. Step 2: Convert to fraction form
    252,828/380,844 = 380,844/x
  3. Step 3: Cross multiply
    252,828x = 380,844 × 380,844
  4. Step 4: Simplify right side
    252,828x = 145,042,152,336
  5. Step 5: Solve for x
    x = 145,042,152,336/252,828
  6. Step 6: Final answer
    x = 573,679.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.