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Finding the Third Proportional to 301,796.50 and 452,731

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Solution

The third proportional to 301,796.50 and 452,731 is: 679,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,796.50 : 452,731 = 452,731 : x
  2. Step 2: Convert to fraction form
    301,796.50/452,731 = 452,731/x
  3. Step 3: Cross multiply
    301,796.50x = 452,731 × 452,731
  4. Step 4: Simplify right side
    301,796.50x = 204,965,358,361
  5. Step 5: Solve for x
    x = 204,965,358,361/301,796.50
  6. Step 6: Final answer
    x = 679,150.88

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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.