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Finding the Third Proportional to 253,935 and 401,755

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Solution

The third proportional to 253,935 and 401,755 is: 635,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,935 : 401,755 = 401,755 : x
  2. Step 2: Convert to fraction form
    253,935/401,755 = 401,755/x
  3. Step 3: Cross multiply
    253,935x = 401,755 × 401,755
  4. Step 4: Simplify right side
    253,935x = 161,407,080,025
  5. Step 5: Solve for x
    x = 161,407,080,025/253,935
  6. Step 6: Final answer
    x = 635,623.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.