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Finding the Third Proportional to 305,275 and 448,766

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Solution

The third proportional to 305,275 and 448,766 is: 659,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,275 : 448,766 = 448,766 : x
  2. Step 2: Convert to fraction form
    305,275/448,766 = 448,766/x
  3. Step 3: Cross multiply
    305,275x = 448,766 × 448,766
  4. Step 4: Simplify right side
    305,275x = 201,390,922,756
  5. Step 5: Solve for x
    x = 201,390,922,756/305,275
  6. Step 6: Final answer
    x = 659,703.29

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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.