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Finding the Third Proportional to 324,454.75 and 503,682.75

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Solution

The third proportional to 324,454.75 and 503,682.75 is: 781,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,454.75 : 503,682.75 = 503,682.75 : x
  2. Step 2: Convert to fraction form
    324,454.75/503,682.75 = 503,682.75/x
  3. Step 3: Cross multiply
    324,454.75x = 503,682.75 × 503,682.75
  4. Step 4: Simplify right side
    324,454.75x = 253,696,312,647.56
  5. Step 5: Solve for x
    x = 253,696,312,647.56/324,454.75
  6. Step 6: Final answer
    x = 781,915.85

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