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Finding the Third Proportional to 262,188 and 395,436

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Solution

The third proportional to 262,188 and 395,436 is: 596,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,188 : 395,436 = 395,436 : x
  2. Step 2: Convert to fraction form
    262,188/395,436 = 395,436/x
  3. Step 3: Cross multiply
    262,188x = 395,436 × 395,436
  4. Step 4: Simplify right side
    262,188x = 156,369,630,096
  5. Step 5: Solve for x
    x = 156,369,630,096/262,188
  6. Step 6: Final answer
    x = 596,402.70

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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.