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Finding the Third Proportional to 264,427 and 542,934

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Solution

The third proportional to 264,427 and 542,934 is: 1,114,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,427 : 542,934 = 542,934 : x
  2. Step 2: Convert to fraction form
    264,427/542,934 = 542,934/x
  3. Step 3: Cross multiply
    264,427x = 542,934 × 542,934
  4. Step 4: Simplify right side
    264,427x = 294,777,328,356
  5. Step 5: Solve for x
    x = 294,777,328,356/264,427
  6. Step 6: Final answer
    x = 1,114,777.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.