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Finding the Third Proportional to 265,104 and 401,517

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Solution

The third proportional to 265,104 and 401,517 is: 608,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,104 : 401,517 = 401,517 : x
  2. Step 2: Convert to fraction form
    265,104/401,517 = 401,517/x
  3. Step 3: Cross multiply
    265,104x = 401,517 × 401,517
  4. Step 4: Simplify right side
    265,104x = 161,215,901,289
  5. Step 5: Solve for x
    x = 161,215,901,289/265,104
  6. Step 6: Final answer
    x = 608,123.23

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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.