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Finding the Third Proportional to 262,120 and 395,346

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Solution

The third proportional to 262,120 and 395,346 is: 596,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,120 : 395,346 = 395,346 : x
  2. Step 2: Convert to fraction form
    262,120/395,346 = 395,346/x
  3. Step 3: Cross multiply
    262,120x = 395,346 × 395,346
  4. Step 4: Simplify right side
    262,120x = 156,298,459,716
  5. Step 5: Solve for x
    x = 156,298,459,716/262,120
  6. Step 6: Final answer
    x = 596,285.90

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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.