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Finding the Third Proportional to 305,262 and 448,767

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Solution

The third proportional to 305,262 and 448,767 is: 659,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,262 : 448,767 = 448,767 : x
  2. Step 2: Convert to fraction form
    305,262/448,767 = 448,767/x
  3. Step 3: Cross multiply
    305,262x = 448,767 × 448,767
  4. Step 4: Simplify right side
    305,262x = 201,391,820,289
  5. Step 5: Solve for x
    x = 201,391,820,289/305,262
  6. Step 6: Final answer
    x = 659,734.33

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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.