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Finding the Third Proportional to 262,184 and 395,424

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Solution

The third proportional to 262,184 and 395,424 is: 596,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,184 : 395,424 = 395,424 : x
  2. Step 2: Convert to fraction form
    262,184/395,424 = 395,424/x
  3. Step 3: Cross multiply
    262,184x = 395,424 × 395,424
  4. Step 4: Simplify right side
    262,184x = 156,360,139,776
  5. Step 5: Solve for x
    x = 156,360,139,776/262,184
  6. Step 6: Final answer
    x = 596,375.60

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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.