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Finding the Third Proportional to 327,514.50 and 500,017.50

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Solution

The third proportional to 327,514.50 and 500,017.50 is: 763,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,514.50 : 500,017.50 = 500,017.50 : x
  2. Step 2: Convert to fraction form
    327,514.50/500,017.50 = 500,017.50/x
  3. Step 3: Cross multiply
    327,514.50x = 500,017.50 × 500,017.50
  4. Step 4: Simplify right side
    327,514.50x = 250,017,500,306.25
  5. Step 5: Solve for x
    x = 250,017,500,306.25/327,514.50
  6. Step 6: Final answer
    x = 763,378.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.