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Finding the Third Proportional to 381,976.50 and 832,434

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Solution

The third proportional to 381,976.50 and 832,434 is: 1,814,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976.50 : 832,434 = 832,434 : x
  2. Step 2: Convert to fraction form
    381,976.50/832,434 = 832,434/x
  3. Step 3: Cross multiply
    381,976.50x = 832,434 × 832,434
  4. Step 4: Simplify right side
    381,976.50x = 692,946,364,356
  5. Step 5: Solve for x
    x = 692,946,364,356/381,976.50
  6. Step 6: Final answer
    x = 1,814,107.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.