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Finding the Third Proportional to 304,321.50 and 445,213.50

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Solution

The third proportional to 304,321.50 and 445,213.50 is: 651,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,321.50 : 445,213.50 = 445,213.50 : x
  2. Step 2: Convert to fraction form
    304,321.50/445,213.50 = 445,213.50/x
  3. Step 3: Cross multiply
    304,321.50x = 445,213.50 × 445,213.50
  4. Step 4: Simplify right side
    304,321.50x = 198,215,060,582.25
  5. Step 5: Solve for x
    x = 198,215,060,582.25/304,321.50
  6. Step 6: Final answer
    x = 651,334.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.