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Finding the Third Proportional to 265,190 and 401,638

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Solution

The third proportional to 265,190 and 401,638 is: 608,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,190 : 401,638 = 401,638 : x
  2. Step 2: Convert to fraction form
    265,190/401,638 = 401,638/x
  3. Step 3: Cross multiply
    265,190x = 401,638 × 401,638
  4. Step 4: Simplify right side
    265,190x = 161,313,083,044
  5. Step 5: Solve for x
    x = 161,313,083,044/265,190
  6. Step 6: Final answer
    x = 608,292.48

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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.