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Finding the Third Proportional to 321,023.25 and 497,765.25

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Solution

The third proportional to 321,023.25 and 497,765.25 is: 771,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,023.25 : 497,765.25 = 497,765.25 : x
  2. Step 2: Convert to fraction form
    321,023.25/497,765.25 = 497,765.25/x
  3. Step 3: Cross multiply
    321,023.25x = 497,765.25 × 497,765.25
  4. Step 4: Simplify right side
    321,023.25x = 247,770,244,107.56
  5. Step 5: Solve for x
    x = 247,770,244,107.56/321,023.25
  6. Step 6: Final answer
    x = 771,814.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.