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Finding the Third Proportional to 313,811 and 480,140.50

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Solution

The third proportional to 313,811 and 480,140.50 is: 734,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,811 : 480,140.50 = 480,140.50 : x
  2. Step 2: Convert to fraction form
    313,811/480,140.50 = 480,140.50/x
  3. Step 3: Cross multiply
    313,811x = 480,140.50 × 480,140.50
  4. Step 4: Simplify right side
    313,811x = 230,534,899,740.25
  5. Step 5: Solve for x
    x = 230,534,899,740.25/313,811
  6. Step 6: Final answer
    x = 734,629.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.