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Finding the Third Proportional to 291,361.50 and 393,635.25

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Solution

The third proportional to 291,361.50 and 393,635.25 is: 531,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,361.50 : 393,635.25 = 393,635.25 : x
  2. Step 2: Convert to fraction form
    291,361.50/393,635.25 = 393,635.25/x
  3. Step 3: Cross multiply
    291,361.50x = 393,635.25 × 393,635.25
  4. Step 4: Simplify right side
    291,361.50x = 154,948,710,042.56
  5. Step 5: Solve for x
    x = 154,948,710,042.56/291,361.50
  6. Step 6: Final answer
    x = 531,809.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.