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Finding the Third Proportional to 207,798.75 and 447,381

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Solution

The third proportional to 207,798.75 and 447,381 is: 963,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,798.75 : 447,381 = 447,381 : x
  2. Step 2: Convert to fraction form
    207,798.75/447,381 = 447,381/x
  3. Step 3: Cross multiply
    207,798.75x = 447,381 × 447,381
  4. Step 4: Simplify right side
    207,798.75x = 200,149,759,161
  5. Step 5: Solve for x
    x = 200,149,759,161/207,798.75
  6. Step 6: Final answer
    x = 963,190.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.