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Finding the Third Proportional to 313,443.50 and 477,509.50

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Solution

The third proportional to 313,443.50 and 477,509.50 is: 727,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,443.50 : 477,509.50 = 477,509.50 : x
  2. Step 2: Convert to fraction form
    313,443.50/477,509.50 = 477,509.50/x
  3. Step 3: Cross multiply
    313,443.50x = 477,509.50 × 477,509.50
  4. Step 4: Simplify right side
    313,443.50x = 228,015,322,590.25
  5. Step 5: Solve for x
    x = 228,015,322,590.25/313,443.50
  6. Step 6: Final answer
    x = 727,452.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.