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Finding the Third Proportional to 373,434.75 and 565,796.25

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Solution

The third proportional to 373,434.75 and 565,796.25 is: 857,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,434.75 : 565,796.25 = 565,796.25 : x
  2. Step 2: Convert to fraction form
    373,434.75/565,796.25 = 565,796.25/x
  3. Step 3: Cross multiply
    373,434.75x = 565,796.25 × 565,796.25
  4. Step 4: Simplify right side
    373,434.75x = 320,125,396,514.06
  5. Step 5: Solve for x
    x = 320,125,396,514.06/373,434.75
  6. Step 6: Final answer
    x = 857,245.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.