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Finding the Third Proportional to 262,118 and 395,343

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Solution

The third proportional to 262,118 and 395,343 is: 596,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,118 : 395,343 = 395,343 : x
  2. Step 2: Convert to fraction form
    262,118/395,343 = 395,343/x
  3. Step 3: Cross multiply
    262,118x = 395,343 × 395,343
  4. Step 4: Simplify right side
    262,118x = 156,296,087,649
  5. Step 5: Solve for x
    x = 156,296,087,649/262,118
  6. Step 6: Final answer
    x = 596,281.40

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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.