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Finding the Third Proportional to 393,822 and 590,611.50

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Solution

The third proportional to 393,822 and 590,611.50 is: 885,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,822 : 590,611.50 = 590,611.50 : x
  2. Step 2: Convert to fraction form
    393,822/590,611.50 = 590,611.50/x
  3. Step 3: Cross multiply
    393,822x = 590,611.50 × 590,611.50
  4. Step 4: Simplify right side
    393,822x = 348,821,943,932.25
  5. Step 5: Solve for x
    x = 348,821,943,932.25/393,822
  6. Step 6: Final answer
    x = 885,735.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.