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Finding the Third Proportional to 238,512 and 522,045

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Solution

The third proportional to 238,512 and 522,045 is: 1,142,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,512 : 522,045 = 522,045 : x
  2. Step 2: Convert to fraction form
    238,512/522,045 = 522,045/x
  3. Step 3: Cross multiply
    238,512x = 522,045 × 522,045
  4. Step 4: Simplify right side
    238,512x = 272,530,982,025
  5. Step 5: Solve for x
    x = 272,530,982,025/238,512
  6. Step 6: Final answer
    x = 1,142,630.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.