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Finding the Third Proportional to 305,233.50 and 448,716.75

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Solution

The third proportional to 305,233.50 and 448,716.75 is: 659,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,233.50 : 448,716.75 = 448,716.75 : x
  2. Step 2: Convert to fraction form
    305,233.50/448,716.75 = 448,716.75/x
  3. Step 3: Cross multiply
    305,233.50x = 448,716.75 × 448,716.75
  4. Step 4: Simplify right side
    305,233.50x = 201,346,721,730.56
  5. Step 5: Solve for x
    x = 201,346,721,730.56/305,233.50
  6. Step 6: Final answer
    x = 659,648.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.