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Finding the Third Proportional to 262,116 and 395,340

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Solution

The third proportional to 262,116 and 395,340 is: 596,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,116 : 395,340 = 395,340 : x
  2. Step 2: Convert to fraction form
    262,116/395,340 = 395,340/x
  3. Step 3: Cross multiply
    262,116x = 395,340 × 395,340
  4. Step 4: Simplify right side
    262,116x = 156,293,715,600
  5. Step 5: Solve for x
    x = 156,293,715,600/262,116
  6. Step 6: Final answer
    x = 596,276.90

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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.