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Finding the Third Proportional to 253,276 and 401,052

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Solution

The third proportional to 253,276 and 401,052 is: 635,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,276 : 401,052 = 401,052 : x
  2. Step 2: Convert to fraction form
    253,276/401,052 = 401,052/x
  3. Step 3: Cross multiply
    253,276x = 401,052 × 401,052
  4. Step 4: Simplify right side
    253,276x = 160,842,706,704
  5. Step 5: Solve for x
    x = 160,842,706,704/253,276
  6. Step 6: Final answer
    x = 635,049.14

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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.