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Finding the Third Proportional to 239,314 and 522,092

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Solution

The third proportional to 239,314 and 522,092 is: 1,139,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,314 : 522,092 = 522,092 : x
  2. Step 2: Convert to fraction form
    239,314/522,092 = 522,092/x
  3. Step 3: Cross multiply
    239,314x = 522,092 × 522,092
  4. Step 4: Simplify right side
    239,314x = 272,580,056,464
  5. Step 5: Solve for x
    x = 272,580,056,464/239,314
  6. Step 6: Final answer
    x = 1,139,005.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.