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Finding the Third Proportional to 326,506.50 and 478,581.75

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Solution

The third proportional to 326,506.50 and 478,581.75 is: 701,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,506.50 : 478,581.75 = 478,581.75 : x
  2. Step 2: Convert to fraction form
    326,506.50/478,581.75 = 478,581.75/x
  3. Step 3: Cross multiply
    326,506.50x = 478,581.75 × 478,581.75
  4. Step 4: Simplify right side
    326,506.50x = 229,040,491,433.06
  5. Step 5: Solve for x
    x = 229,040,491,433.06/326,506.50
  6. Step 6: Final answer
    x = 701,488.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.