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Finding the Third Proportional to 388,215.50 and 823,087

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Solution

The third proportional to 388,215.50 and 823,087 is: 1,745,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,215.50 : 823,087 = 823,087 : x
  2. Step 2: Convert to fraction form
    388,215.50/823,087 = 823,087/x
  3. Step 3: Cross multiply
    388,215.50x = 823,087 × 823,087
  4. Step 4: Simplify right side
    388,215.50x = 677,472,209,569
  5. Step 5: Solve for x
    x = 677,472,209,569/388,215.50
  6. Step 6: Final answer
    x = 1,745,093.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.