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Finding the Third Proportional to 383,388.50 and 601,471.50

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Solution

The third proportional to 383,388.50 and 601,471.50 is: 943,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,388.50 : 601,471.50 = 601,471.50 : x
  2. Step 2: Convert to fraction form
    383,388.50/601,471.50 = 601,471.50/x
  3. Step 3: Cross multiply
    383,388.50x = 601,471.50 × 601,471.50
  4. Step 4: Simplify right side
    383,388.50x = 361,767,965,312.25
  5. Step 5: Solve for x
    x = 361,767,965,312.25/383,388.50
  6. Step 6: Final answer
    x = 943,606.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.