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Finding the Third Proportional to 382,603.50 and 839,905.88

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Solution

The third proportional to 382,603.50 and 839,905.88 is: 1,843,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,603.50 : 839,905.88 = 839,905.88 : x
  2. Step 2: Convert to fraction form
    382,603.50/839,905.88 = 839,905.88/x
  3. Step 3: Cross multiply
    382,603.50x = 839,905.88 × 839,905.88
  4. Step 4: Simplify right side
    382,603.50x = 705,441,878,859.52
  5. Step 5: Solve for x
    x = 705,441,878,859.52/382,603.50
  6. Step 6: Final answer
    x = 1,843,793.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.