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Finding the Third Proportional to 320,880 and 498,870

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Solution

The third proportional to 320,880 and 498,870 is: 775,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,880 : 498,870 = 498,870 : x
  2. Step 2: Convert to fraction form
    320,880/498,870 = 498,870/x
  3. Step 3: Cross multiply
    320,880x = 498,870 × 498,870
  4. Step 4: Simplify right side
    320,880x = 248,871,276,900
  5. Step 5: Solve for x
    x = 248,871,276,900/320,880
  6. Step 6: Final answer
    x = 775,589.87

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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.