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Finding the Third Proportional to 257,008 and 376,741

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Solution

The third proportional to 257,008 and 376,741 is: 552,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,008 : 376,741 = 376,741 : x
  2. Step 2: Convert to fraction form
    257,008/376,741 = 376,741/x
  3. Step 3: Cross multiply
    257,008x = 376,741 × 376,741
  4. Step 4: Simplify right side
    257,008x = 141,933,781,081
  5. Step 5: Solve for x
    x = 141,933,781,081/257,008
  6. Step 6: Final answer
    x = 552,254.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.