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Finding the Third Proportional to 265,724 and 394,801

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Solution

The third proportional to 265,724 and 394,801 is: 586,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,724 : 394,801 = 394,801 : x
  2. Step 2: Convert to fraction form
    265,724/394,801 = 394,801/x
  3. Step 3: Cross multiply
    265,724x = 394,801 × 394,801
  4. Step 4: Simplify right side
    265,724x = 155,867,829,601
  5. Step 5: Solve for x
    x = 155,867,829,601/265,724
  6. Step 6: Final answer
    x = 586,577.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.