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Finding the Third Proportional to 265,722 and 394,798

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Solution

The third proportional to 265,722 and 394,798 is: 586,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,722 : 394,798 = 394,798 : x
  2. Step 2: Convert to fraction form
    265,722/394,798 = 394,798/x
  3. Step 3: Cross multiply
    265,722x = 394,798 × 394,798
  4. Step 4: Simplify right side
    265,722x = 155,865,460,804
  5. Step 5: Solve for x
    x = 155,865,460,804/265,722
  6. Step 6: Final answer
    x = 586,573.41

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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.