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Finding the Third Proportional to 262,100 and 392,734

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Solution

The third proportional to 262,100 and 392,734 is: 588,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,100 : 392,734 = 392,734 : x
  2. Step 2: Convert to fraction form
    262,100/392,734 = 392,734/x
  3. Step 3: Cross multiply
    262,100x = 392,734 × 392,734
  4. Step 4: Simplify right side
    262,100x = 154,239,994,756
  5. Step 5: Solve for x
    x = 154,239,994,756/262,100
  6. Step 6: Final answer
    x = 588,477.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.