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Finding the Third Proportional to 326,158.50 and 716,631

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Solution

The third proportional to 326,158.50 and 716,631 is: 1,574,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,158.50 : 716,631 = 716,631 : x
  2. Step 2: Convert to fraction form
    326,158.50/716,631 = 716,631/x
  3. Step 3: Cross multiply
    326,158.50x = 716,631 × 716,631
  4. Step 4: Simplify right side
    326,158.50x = 513,559,990,161
  5. Step 5: Solve for x
    x = 513,559,990,161/326,158.50
  6. Step 6: Final answer
    x = 1,574,571.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.