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Finding the Third Proportional to 251,486.44 and 380,480.06

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Solution

The third proportional to 251,486.44 and 380,480.06 is: 575,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,486.44 : 380,480.06 = 380,480.06 : x
  2. Step 2: Convert to fraction form
    251,486.44/380,480.06 = 380,480.06/x
  3. Step 3: Cross multiply
    251,486.44x = 380,480.06 × 380,480.06
  4. Step 4: Simplify right side
    251,486.44x = 144,765,077,960.00
  5. Step 5: Solve for x
    x = 144,765,077,960.00/251,486.44
  6. Step 6: Final answer
    x = 575,637.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.