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Finding the Third Proportional to 305,268 and 448,756

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Solution

The third proportional to 305,268 and 448,756 is: 659,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,268 : 448,756 = 448,756 : x
  2. Step 2: Convert to fraction form
    305,268/448,756 = 448,756/x
  3. Step 3: Cross multiply
    305,268x = 448,756 × 448,756
  4. Step 4: Simplify right side
    305,268x = 201,381,947,536
  5. Step 5: Solve for x
    x = 201,381,947,536/305,268
  6. Step 6: Final answer
    x = 659,689.02

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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.