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Finding the Third Proportional to 253,266 and 401,040

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Solution

The third proportional to 253,266 and 401,040 is: 635,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,266 : 401,040 = 401,040 : x
  2. Step 2: Convert to fraction form
    253,266/401,040 = 401,040/x
  3. Step 3: Cross multiply
    253,266x = 401,040 × 401,040
  4. Step 4: Simplify right side
    253,266x = 160,833,081,600
  5. Step 5: Solve for x
    x = 160,833,081,600/253,266
  6. Step 6: Final answer
    x = 635,036.21

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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.