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Finding the Third Proportional to 256,076.44 and 549,514.13

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Solution

The third proportional to 256,076.44 and 549,514.13 is: 1,179,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076.44 : 549,514.13 = 549,514.13 : x
  2. Step 2: Convert to fraction form
    256,076.44/549,514.13 = 549,514.13/x
  3. Step 3: Cross multiply
    256,076.44x = 549,514.13 × 549,514.13
  4. Step 4: Simplify right side
    256,076.44x = 301,965,773,574.52
  5. Step 5: Solve for x
    x = 301,965,773,574.52/256,076.44
  6. Step 6: Final answer
    x = 1,179,201.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.