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Finding the Third Proportional to 265,036 and 401,766

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Solution

The third proportional to 265,036 and 401,766 is: 609,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,036 : 401,766 = 401,766 : x
  2. Step 2: Convert to fraction form
    265,036/401,766 = 401,766/x
  3. Step 3: Cross multiply
    265,036x = 401,766 × 401,766
  4. Step 4: Simplify right side
    265,036x = 161,415,918,756
  5. Step 5: Solve for x
    x = 161,415,918,756/265,036
  6. Step 6: Final answer
    x = 609,033.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.