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Finding the Third Proportional to 382,117.50 and 809,750.25

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Solution

The third proportional to 382,117.50 and 809,750.25 is: 1,715,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,117.50 : 809,750.25 = 809,750.25 : x
  2. Step 2: Convert to fraction form
    382,117.50/809,750.25 = 809,750.25/x
  3. Step 3: Cross multiply
    382,117.50x = 809,750.25 × 809,750.25
  4. Step 4: Simplify right side
    382,117.50x = 655,695,467,375.06
  5. Step 5: Solve for x
    x = 655,695,467,375.06/382,117.50
  6. Step 6: Final answer
    x = 1,715,952.47

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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.