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Finding the Third Proportional to 238,760 and 518,220

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Solution

The third proportional to 238,760 and 518,220 is: 1,124,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,760 : 518,220 = 518,220 : x
  2. Step 2: Convert to fraction form
    238,760/518,220 = 518,220/x
  3. Step 3: Cross multiply
    238,760x = 518,220 × 518,220
  4. Step 4: Simplify right side
    238,760x = 268,551,968,400
  5. Step 5: Solve for x
    x = 268,551,968,400/238,760
  6. Step 6: Final answer
    x = 1,124,777.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.