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Finding the Third Proportional to 380,551.50 and 836,433

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Solution

The third proportional to 380,551.50 and 836,433 is: 1,838,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,551.50 : 836,433 = 836,433 : x
  2. Step 2: Convert to fraction form
    380,551.50/836,433 = 836,433/x
  3. Step 3: Cross multiply
    380,551.50x = 836,433 × 836,433
  4. Step 4: Simplify right side
    380,551.50x = 699,620,163,489
  5. Step 5: Solve for x
    x = 699,620,163,489/380,551.50
  6. Step 6: Final answer
    x = 1,838,437.54

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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.