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Finding the Third Proportional to 261,733 and 394,788

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Solution

The third proportional to 261,733 and 394,788 is: 595,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,733 : 394,788 = 394,788 : x
  2. Step 2: Convert to fraction form
    261,733/394,788 = 394,788/x
  3. Step 3: Cross multiply
    261,733x = 394,788 × 394,788
  4. Step 4: Simplify right side
    261,733x = 155,857,564,944
  5. Step 5: Solve for x
    x = 155,857,564,944/261,733
  6. Step 6: Final answer
    x = 595,483.05

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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.