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Finding the Third Proportional to 513,184.50 and 739,221.75

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Solution

The third proportional to 513,184.50 and 739,221.75 is: 1,064,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,184.50 : 739,221.75 = 739,221.75 : x
  2. Step 2: Convert to fraction form
    513,184.50/739,221.75 = 739,221.75/x
  3. Step 3: Cross multiply
    513,184.50x = 739,221.75 × 739,221.75
  4. Step 4: Simplify right side
    513,184.50x = 546,448,795,673.06
  5. Step 5: Solve for x
    x = 546,448,795,673.06/513,184.50
  6. Step 6: Final answer
    x = 1,064,819.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.