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Finding the Third Proportional to 311,161.50 and 478,041.75

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Solution

The third proportional to 311,161.50 and 478,041.75 is: 734,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,161.50 : 478,041.75 = 478,041.75 : x
  2. Step 2: Convert to fraction form
    311,161.50/478,041.75 = 478,041.75/x
  3. Step 3: Cross multiply
    311,161.50x = 478,041.75 × 478,041.75
  4. Step 4: Simplify right side
    311,161.50x = 228,523,914,743.06
  5. Step 5: Solve for x
    x = 228,523,914,743.06/311,161.50
  6. Step 6: Final answer
    x = 734,422.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.