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Finding the Third Proportional to 301,794 and 452,727

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Solution

The third proportional to 301,794 and 452,727 is: 679,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,794 : 452,727 = 452,727 : x
  2. Step 2: Convert to fraction form
    301,794/452,727 = 452,727/x
  3. Step 3: Cross multiply
    301,794x = 452,727 × 452,727
  4. Step 4: Simplify right side
    301,794x = 204,961,736,529
  5. Step 5: Solve for x
    x = 204,961,736,529/301,794
  6. Step 6: Final answer
    x = 679,144.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.