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Finding the Third Proportional to 305,263 and 448,749

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Solution

The third proportional to 305,263 and 448,749 is: 659,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,263 : 448,749 = 448,749 : x
  2. Step 2: Convert to fraction form
    305,263/448,749 = 448,749/x
  3. Step 3: Cross multiply
    305,263x = 448,749 × 448,749
  4. Step 4: Simplify right side
    305,263x = 201,375,665,001
  5. Step 5: Solve for x
    x = 201,375,665,001/305,263
  6. Step 6: Final answer
    x = 659,679.24

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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.