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Finding the Third Proportional to 326,070 and 486,096.75

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Solution

The third proportional to 326,070 and 486,096.75 is: 724,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,070 : 486,096.75 = 486,096.75 : x
  2. Step 2: Convert to fraction form
    326,070/486,096.75 = 486,096.75/x
  3. Step 3: Cross multiply
    326,070x = 486,096.75 × 486,096.75
  4. Step 4: Simplify right side
    326,070x = 236,290,050,360.56
  5. Step 5: Solve for x
    x = 236,290,050,360.56/326,070
  6. Step 6: Final answer
    x = 724,660.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.