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Finding the Third Proportional to 305,284 and 448,785

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Solution

The third proportional to 305,284 and 448,785 is: 659,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,284 : 448,785 = 448,785 : x
  2. Step 2: Convert to fraction form
    305,284/448,785 = 448,785/x
  3. Step 3: Cross multiply
    305,284x = 448,785 × 448,785
  4. Step 4: Simplify right side
    305,284x = 201,407,976,225
  5. Step 5: Solve for x
    x = 201,407,976,225/305,284
  6. Step 6: Final answer
    x = 659,739.71

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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.