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Finding the Third Proportional to 262,011 and 395,190

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Solution

The third proportional to 262,011 and 395,190 is: 596,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,011 : 395,190 = 395,190 : x
  2. Step 2: Convert to fraction form
    262,011/395,190 = 395,190/x
  3. Step 3: Cross multiply
    262,011x = 395,190 × 395,190
  4. Step 4: Simplify right side
    262,011x = 156,175,136,100
  5. Step 5: Solve for x
    x = 156,175,136,100/262,011
  6. Step 6: Final answer
    x = 596,063.28

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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.