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Finding the Third Proportional to 326,718 and 490,056.75

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Solution

The third proportional to 326,718 and 490,056.75 is: 735,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,718 : 490,056.75 = 490,056.75 : x
  2. Step 2: Convert to fraction form
    326,718/490,056.75 = 490,056.75/x
  3. Step 3: Cross multiply
    326,718x = 490,056.75 × 490,056.75
  4. Step 4: Simplify right side
    326,718x = 240,155,618,220.56
  5. Step 5: Solve for x
    x = 240,155,618,220.56/326,718
  6. Step 6: Final answer
    x = 735,054.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.