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Finding the Third Proportional to 326,511.75 and 504,543.75

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Solution

The third proportional to 326,511.75 and 504,543.75 is: 779,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,511.75 : 504,543.75 = 504,543.75 : x
  2. Step 2: Convert to fraction form
    326,511.75/504,543.75 = 504,543.75/x
  3. Step 3: Cross multiply
    326,511.75x = 504,543.75 × 504,543.75
  4. Step 4: Simplify right side
    326,511.75x = 254,564,395,664.06
  5. Step 5: Solve for x
    x = 254,564,395,664.06/326,511.75
  6. Step 6: Final answer
    x = 779,648.50

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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.